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Finding the Fourth Proportional to 655.17, 987.26 and 542.16

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Solution

The fourth proportional to 655.17, 987.26 and 542.16 is: 816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.17 : 987.26 = 542.16 : x
  2. Step 2: Convert to fraction form
    655.17/987.26 = 542.16/x
  3. Step 3: Cross multiply
    655.17x = 987.26 × 542.16
  4. Step 4: Simplify right side
    655.17x = 535,252.88
  5. Step 5: Solve for x
    x = 535,252.88/655.17
  6. Step 6: Final answer
    x = 816.97

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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.