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Finding the Fourth Proportional to 655.92, 987.36 and 596.40

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Solution

The fourth proportional to 655.92, 987.36 and 596.40 is: 897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.92 : 987.36 = 596.40 : x
  2. Step 2: Convert to fraction form
    655.92/987.36 = 596.40/x
  3. Step 3: Cross multiply
    655.92x = 987.36 × 596.40
  4. Step 4: Simplify right side
    655.92x = 588,861.50
  5. Step 5: Solve for x
    x = 588,861.50/655.92
  6. Step 6: Final answer
    x = 897.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.