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Finding the Fourth Proportional to 657.70, 908.27 and 557.19

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Solution

The fourth proportional to 657.70, 908.27 and 557.19 is: 769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 908.27 = 557.19 : x
  2. Step 2: Convert to fraction form
    657.70/908.27 = 557.19/x
  3. Step 3: Cross multiply
    657.70x = 908.27 × 557.19
  4. Step 4: Simplify right side
    657.70x = 506,078.96
  5. Step 5: Solve for x
    x = 506,078.96/657.70
  6. Step 6: Final answer
    x = 769.47

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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.