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Finding the Fourth Proportional to 542.55, 812.40 and 497.43

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Solution

The fourth proportional to 542.55, 812.40 and 497.43 is: 744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.55 : 812.40 = 497.43 : x
  2. Step 2: Convert to fraction form
    542.55/812.40 = 497.43/x
  3. Step 3: Cross multiply
    542.55x = 812.40 × 497.43
  4. Step 4: Simplify right side
    542.55x = 404,112.13
  5. Step 5: Solve for x
    x = 404,112.13/542.55
  6. Step 6: Final answer
    x = 744.84

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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.