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Finding the Fourth Proportional to 814.71, 1,123.79 and 553.17

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Solution

The fourth proportional to 814.71, 1,123.79 and 553.17 is: 763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.71 : 1,123.79 = 553.17 : x
  2. Step 2: Convert to fraction form
    814.71/1,123.79 = 553.17/x
  3. Step 3: Cross multiply
    814.71x = 1,123.79 × 553.17
  4. Step 4: Simplify right side
    814.71x = 621,644.15
  5. Step 5: Solve for x
    x = 621,644.15/814.71
  6. Step 6: Final answer
    x = 763.03

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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.