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Finding the Fourth Proportional to 542.16, 742.77 and 522.72

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Solution

The fourth proportional to 542.16, 742.77 and 522.72 is: 716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 742.77 = 522.72 : x
  2. Step 2: Convert to fraction form
    542.16/742.77 = 522.72/x
  3. Step 3: Cross multiply
    542.16x = 742.77 × 522.72
  4. Step 4: Simplify right side
    542.16x = 388,260.73
  5. Step 5: Solve for x
    x = 388,260.73/542.16
  6. Step 6: Final answer
    x = 716.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.