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Finding the Fourth Proportional to 542.66, 753.95 and 536.18

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Solution

The fourth proportional to 542.66, 753.95 and 536.18 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.66 : 753.95 = 536.18 : x
  2. Step 2: Convert to fraction form
    542.66/753.95 = 536.18/x
  3. Step 3: Cross multiply
    542.66x = 753.95 × 536.18
  4. Step 4: Simplify right side
    542.66x = 404,252.91
  5. Step 5: Solve for x
    x = 404,252.91/542.66
  6. Step 6: Final answer
    x = 744.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.