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Finding the Fourth Proportional to 542.61, 812.84 and 474.21

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Solution

The fourth proportional to 542.61, 812.84 and 474.21 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.61 : 812.84 = 474.21 : x
  2. Step 2: Convert to fraction form
    542.61/812.84 = 474.21/x
  3. Step 3: Cross multiply
    542.61x = 812.84 × 474.21
  4. Step 4: Simplify right side
    542.61x = 385,454.49
  5. Step 5: Solve for x
    x = 385,454.49/542.61
  6. Step 6: Final answer
    x = 710.37

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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.