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Finding the Fourth Proportional to 908.37, 1,252.78 and 742.30

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Solution

The fourth proportional to 908.37, 1,252.78 and 742.30 is: 1,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.37 : 1,252.78 = 742.30 : x
  2. Step 2: Convert to fraction form
    908.37/1,252.78 = 742.30/x
  3. Step 3: Cross multiply
    908.37x = 1,252.78 × 742.30
  4. Step 4: Simplify right side
    908.37x = 929,938.59
  5. Step 5: Solve for x
    x = 929,938.59/908.37
  6. Step 6: Final answer
    x = 1,023.74

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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.