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Finding the Fourth Proportional to 655.81, 988.16 and 542.79

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Solution

The fourth proportional to 655.81, 988.16 and 542.79 is: 817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.81 : 988.16 = 542.79 : x
  2. Step 2: Convert to fraction form
    655.81/988.16 = 542.79/x
  3. Step 3: Cross multiply
    655.81x = 988.16 × 542.79
  4. Step 4: Simplify right side
    655.81x = 536,363.37
  5. Step 5: Solve for x
    x = 536,363.37/655.81
  6. Step 6: Final answer
    x = 817.86

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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.