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Finding the Fourth Proportional to 814.14, 1,123.51 and 477.97

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Solution

The fourth proportional to 814.14, 1,123.51 and 477.97 is: 659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.14 : 1,123.51 = 477.97 : x
  2. Step 2: Convert to fraction form
    814.14/1,123.51 = 477.97/x
  3. Step 3: Cross multiply
    814.14x = 1,123.51 × 477.97
  4. Step 4: Simplify right side
    814.14x = 537,009.89
  5. Step 5: Solve for x
    x = 537,009.89/814.14
  6. Step 6: Final answer
    x = 659.61

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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.