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Finding the Fourth Proportional to 1,117.21, 1,541.83 and 645.19

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Solution

The fourth proportional to 1,117.21, 1,541.83 and 645.19 is: 890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.21 : 1,541.83 = 645.19 : x
  2. Step 2: Convert to fraction form
    1,117.21/1,541.83 = 645.19/x
  3. Step 3: Cross multiply
    1,117.21x = 1,541.83 × 645.19
  4. Step 4: Simplify right side
    1,117.21x = 994,773.30
  5. Step 5: Solve for x
    x = 994,773.30/1,117.21
  6. Step 6: Final answer
    x = 890.41

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Half scale
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Double scale
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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.