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Finding the Fourth Proportional to 577.01, 860.95 and 542

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Solution

The fourth proportional to 577.01, 860.95 and 542 is: 808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.01 : 860.95 = 542 : x
  2. Step 2: Convert to fraction form
    577.01/860.95 = 542/x
  3. Step 3: Cross multiply
    577.01x = 860.95 × 542
  4. Step 4: Simplify right side
    577.01x = 466,634.90
  5. Step 5: Solve for x
    x = 466,634.90/577.01
  6. Step 6: Final answer
    x = 808.71

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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.