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Finding the Fourth Proportional to 657.87, 908.24 and 437.01

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Solution

The fourth proportional to 657.87, 908.24 and 437.01 is: 603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.87 : 908.24 = 437.01 : x
  2. Step 2: Convert to fraction form
    657.87/908.24 = 437.01/x
  3. Step 3: Cross multiply
    657.87x = 908.24 × 437.01
  4. Step 4: Simplify right side
    657.87x = 396,909.96
  5. Step 5: Solve for x
    x = 396,909.96/657.87
  6. Step 6: Final answer
    x = 603.33

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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.