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Finding the Fourth Proportional to 938.72, 1,294.97 and 814.20

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Solution

The fourth proportional to 938.72, 1,294.97 and 814.20 is: 1,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.72 : 1,294.97 = 814.20 : x
  2. Step 2: Convert to fraction form
    938.72/1,294.97 = 814.20/x
  3. Step 3: Cross multiply
    938.72x = 1,294.97 × 814.20
  4. Step 4: Simplify right side
    938.72x = 1,054,360.50
  5. Step 5: Solve for x
    x = 1,054,360.50/938.72
  6. Step 6: Final answer
    x = 1,123.20

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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.