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Finding the Fourth Proportional to 1,325, 1,983.58 and 913.26

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Solution

The fourth proportional to 1,325, 1,983.58 and 913.26 is: 1,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325 : 1,983.58 = 913.26 : x
  2. Step 2: Convert to fraction form
    1,325/1,983.58 = 913.26/x
  3. Step 3: Cross multiply
    1,325x = 1,983.58 × 913.26
  4. Step 4: Simplify right side
    1,325x = 1,811,524.27
  5. Step 5: Solve for x
    x = 1,811,524.27/1,325
  6. Step 6: Final answer
    x = 1,367.19

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.