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Finding the Fourth Proportional to 542.57, 748.78 and 309.69

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Solution

The fourth proportional to 542.57, 748.78 and 309.69 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 748.78 = 309.69 : x
  2. Step 2: Convert to fraction form
    542.57/748.78 = 309.69/x
  3. Step 3: Cross multiply
    542.57x = 748.78 × 309.69
  4. Step 4: Simplify right side
    542.57x = 231,889.68
  5. Step 5: Solve for x
    x = 231,889.68/542.57
  6. Step 6: Final answer
    x = 427.39

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Similar ratio
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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.