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Finding the Fourth Proportional to 542.32, 748.74 and 417.74

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Solution

The fourth proportional to 542.32, 748.74 and 417.74 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.32 : 748.74 = 417.74 : x
  2. Step 2: Convert to fraction form
    542.32/748.74 = 417.74/x
  3. Step 3: Cross multiply
    542.32x = 748.74 × 417.74
  4. Step 4: Simplify right side
    542.32x = 312,776.56
  5. Step 5: Solve for x
    x = 312,776.56/542.32
  6. Step 6: Final answer
    x = 576.74

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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.