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Finding the Fourth Proportional to 1,183.38, 1,633.16 and 711.35

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Solution

The fourth proportional to 1,183.38, 1,633.16 and 711.35 is: 981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.38 : 1,633.16 = 711.35 : x
  2. Step 2: Convert to fraction form
    1,183.38/1,633.16 = 711.35/x
  3. Step 3: Cross multiply
    1,183.38x = 1,633.16 × 711.35
  4. Step 4: Simplify right side
    1,183.38x = 1,161,748.10
  5. Step 5: Solve for x
    x = 1,161,748.10/1,183.38
  6. Step 6: Final answer
    x = 981.72

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,184.38, 1,634.54 and 712.35
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.