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Finding the Fourth Proportional to 542.57, 812.63 and 530.42

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Solution

The fourth proportional to 542.57, 812.63 and 530.42 is: 794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 812.63 = 530.42 : x
  2. Step 2: Convert to fraction form
    542.57/812.63 = 530.42/x
  3. Step 3: Cross multiply
    542.57x = 812.63 × 530.42
  4. Step 4: Simplify right side
    542.57x = 431,032.47
  5. Step 5: Solve for x
    x = 431,032.47/542.57
  6. Step 6: Final answer
    x = 794.43

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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.