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Finding the Fourth Proportional to 542.08, 812.51 and 335.73

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Solution

The fourth proportional to 542.08, 812.51 and 335.73 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 812.51 = 335.73 : x
  2. Step 2: Convert to fraction form
    542.08/812.51 = 335.73/x
  3. Step 3: Cross multiply
    542.08x = 812.51 × 335.73
  4. Step 4: Simplify right side
    542.08x = 272,783.98
  5. Step 5: Solve for x
    x = 272,783.98/542.08
  6. Step 6: Final answer
    x = 503.22

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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.