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Finding the Fourth Proportional to 655.23, 903.96 and 375.31

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Solution

The fourth proportional to 655.23, 903.96 and 375.31 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.23 : 903.96 = 375.31 : x
  2. Step 2: Convert to fraction form
    655.23/903.96 = 375.31/x
  3. Step 3: Cross multiply
    655.23x = 903.96 × 375.31
  4. Step 4: Simplify right side
    655.23x = 339,265.23
  5. Step 5: Solve for x
    x = 339,265.23/655.23
  6. Step 6: Final answer
    x = 517.78

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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.