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Finding the Fourth Proportional to 542.17, 747.71 and 459.19

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Solution

The fourth proportional to 542.17, 747.71 and 459.19 is: 633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.17 : 747.71 = 459.19 : x
  2. Step 2: Convert to fraction form
    542.17/747.71 = 459.19/x
  3. Step 3: Cross multiply
    542.17x = 747.71 × 459.19
  4. Step 4: Simplify right side
    542.17x = 343,340.95
  5. Step 5: Solve for x
    x = 343,340.95/542.17
  6. Step 6: Final answer
    x = 633.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.