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Finding the Fourth Proportional to 655.62, 902.51 and 596.85

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Solution

The fourth proportional to 655.62, 902.51 and 596.85 is: 821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.62 : 902.51 = 596.85 : x
  2. Step 2: Convert to fraction form
    655.62/902.51 = 596.85/x
  3. Step 3: Cross multiply
    655.62x = 902.51 × 596.85
  4. Step 4: Simplify right side
    655.62x = 538,658.96
  5. Step 5: Solve for x
    x = 538,658.96/655.62
  6. Step 6: Final answer
    x = 821.61

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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.