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Finding the Fourth Proportional to 742.46, 1,112.91 and 482.63

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Solution

The fourth proportional to 742.46, 1,112.91 and 482.63 is: 723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.46 : 1,112.91 = 482.63 : x
  2. Step 2: Convert to fraction form
    742.46/1,112.91 = 482.63/x
  3. Step 3: Cross multiply
    742.46x = 1,112.91 × 482.63
  4. Step 4: Simplify right side
    742.46x = 537,123.75
  5. Step 5: Solve for x
    x = 537,123.75/742.46
  6. Step 6: Final answer
    x = 723.44

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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.