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Finding the Fourth Proportional to 749.31, 1,124.16 and 402.49

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Solution

The fourth proportional to 749.31, 1,124.16 and 402.49 is: 603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.31 : 1,124.16 = 402.49 : x
  2. Step 2: Convert to fraction form
    749.31/1,124.16 = 402.49/x
  3. Step 3: Cross multiply
    749.31x = 1,124.16 × 402.49
  4. Step 4: Simplify right side
    749.31x = 452,463.16
  5. Step 5: Solve for x
    x = 452,463.16/749.31
  6. Step 6: Final answer
    x = 603.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.