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Finding the Fourth Proportional to 655.76, 907.24 and 631.76

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Solution

The fourth proportional to 655.76, 907.24 and 631.76 is: 874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 907.24 = 631.76 : x
  2. Step 2: Convert to fraction form
    655.76/907.24 = 631.76/x
  3. Step 3: Cross multiply
    655.76x = 907.24 × 631.76
  4. Step 4: Simplify right side
    655.76x = 573,157.94
  5. Step 5: Solve for x
    x = 573,157.94/655.76
  6. Step 6: Final answer
    x = 874.04

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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.