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Finding the Fourth Proportional to 542.52, 810.48 and 345.95

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Solution

The fourth proportional to 542.52, 810.48 and 345.95 is: 516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 810.48 = 345.95 : x
  2. Step 2: Convert to fraction form
    542.52/810.48 = 345.95/x
  3. Step 3: Cross multiply
    542.52x = 810.48 × 345.95
  4. Step 4: Simplify right side
    542.52x = 280,386.72
  5. Step 5: Solve for x
    x = 280,386.72/542.52
  6. Step 6: Final answer
    x = 516.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.