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Finding the Fourth Proportional to 542.94, 812.88 and 337.20

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Solution

The fourth proportional to 542.94, 812.88 and 337.20 is: 504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.94 : 812.88 = 337.20 : x
  2. Step 2: Convert to fraction form
    542.94/812.88 = 337.20/x
  3. Step 3: Cross multiply
    542.94x = 812.88 × 337.20
  4. Step 4: Simplify right side
    542.94x = 274,103.14
  5. Step 5: Solve for x
    x = 274,103.14/542.94
  6. Step 6: Final answer
    x = 504.85

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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.