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Finding the Fourth Proportional to 632.86, 949.59 and 542.95

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Solution

The fourth proportional to 632.86, 949.59 and 542.95 is: 814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.86 : 949.59 = 542.95 : x
  2. Step 2: Convert to fraction form
    632.86/949.59 = 542.95/x
  3. Step 3: Cross multiply
    632.86x = 949.59 × 542.95
  4. Step 4: Simplify right side
    632.86x = 515,577.52
  5. Step 5: Solve for x
    x = 515,577.52/632.86
  6. Step 6: Final answer
    x = 814.68

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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.