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Finding the Fourth Proportional to 542.74, 812.04 and 477.22

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Solution

The fourth proportional to 542.74, 812.04 and 477.22 is: 714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.74 : 812.04 = 477.22 : x
  2. Step 2: Convert to fraction form
    542.74/812.04 = 477.22/x
  3. Step 3: Cross multiply
    542.74x = 812.04 × 477.22
  4. Step 4: Simplify right side
    542.74x = 387,521.73
  5. Step 5: Solve for x
    x = 387,521.73/542.74
  6. Step 6: Final answer
    x = 714.01

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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.