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Finding the Fourth Proportional to 542.85, 811.85 and 529.49

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Solution

The fourth proportional to 542.85, 811.85 and 529.49 is: 791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.85 : 811.85 = 529.49 : x
  2. Step 2: Convert to fraction form
    542.85/811.85 = 529.49/x
  3. Step 3: Cross multiply
    542.85x = 811.85 × 529.49
  4. Step 4: Simplify right side
    542.85x = 429,859.75
  5. Step 5: Solve for x
    x = 429,859.75/542.85
  6. Step 6: Final answer
    x = 791.86

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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.