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Finding the Fourth Proportional to 542.90, 812.53 and 451.78

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Solution

The fourth proportional to 542.90, 812.53 and 451.78 is: 676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.90 : 812.53 = 451.78 : x
  2. Step 2: Convert to fraction form
    542.90/812.53 = 451.78/x
  3. Step 3: Cross multiply
    542.90x = 812.53 × 451.78
  4. Step 4: Simplify right side
    542.90x = 367,084.80
  5. Step 5: Solve for x
    x = 367,084.80/542.90
  6. Step 6: Final answer
    x = 676.16

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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.