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Finding the Fourth Proportional to 542.34, 811.86 and 395.52

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Solution

The fourth proportional to 542.34, 811.86 and 395.52 is: 592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 811.86 = 395.52 : x
  2. Step 2: Convert to fraction form
    542.34/811.86 = 395.52/x
  3. Step 3: Cross multiply
    542.34x = 811.86 × 395.52
  4. Step 4: Simplify right side
    542.34x = 321,106.87
  5. Step 5: Solve for x
    x = 321,106.87/542.34
  6. Step 6: Final answer
    x = 592.08

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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.