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Finding the Fourth Proportional to 542.57, 748.76 and 309.68

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Solution

The fourth proportional to 542.57, 748.76 and 309.68 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 748.76 = 309.68 : x
  2. Step 2: Convert to fraction form
    542.57/748.76 = 309.68/x
  3. Step 3: Cross multiply
    542.57x = 748.76 × 309.68
  4. Step 4: Simplify right side
    542.57x = 231,874.45
  5. Step 5: Solve for x
    x = 231,874.45/542.57
  6. Step 6: Final answer
    x = 427.36

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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.