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Finding the Fourth Proportional to 547.27, 750.91 and 542.10

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Solution

The fourth proportional to 547.27, 750.91 and 542.10 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.27 : 750.91 = 542.10 : x
  2. Step 2: Convert to fraction form
    547.27/750.91 = 542.10/x
  3. Step 3: Cross multiply
    547.27x = 750.91 × 542.10
  4. Step 4: Simplify right side
    547.27x = 407,068.31
  5. Step 5: Solve for x
    x = 407,068.31/547.27
  6. Step 6: Final answer
    x = 743.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.