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Finding the Fourth Proportional to 542.66, 748.87 and 309.74

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Solution

The fourth proportional to 542.66, 748.87 and 309.74 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.66 : 748.87 = 309.74 : x
  2. Step 2: Convert to fraction form
    542.66/748.87 = 309.74/x
  3. Step 3: Cross multiply
    542.66x = 748.87 × 309.74
  4. Step 4: Simplify right side
    542.66x = 231,954.99
  5. Step 5: Solve for x
    x = 231,954.99/542.66
  6. Step 6: Final answer
    x = 427.44

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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.