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Finding the Fourth Proportional to 610.88, 913.62 and 542.84

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Solution

The fourth proportional to 610.88, 913.62 and 542.84 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 913.62 = 542.84 : x
  2. Step 2: Convert to fraction form
    610.88/913.62 = 542.84/x
  3. Step 3: Cross multiply
    610.88x = 913.62 × 542.84
  4. Step 4: Simplify right side
    610.88x = 495,949.48
  5. Step 5: Solve for x
    x = 495,949.48/610.88
  6. Step 6: Final answer
    x = 811.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.