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Finding the Fourth Proportional to 742.23, 1,024.70 and 462.82

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Solution

The fourth proportional to 742.23, 1,024.70 and 462.82 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.23 : 1,024.70 = 462.82 : x
  2. Step 2: Convert to fraction form
    742.23/1,024.70 = 462.82/x
  3. Step 3: Cross multiply
    742.23x = 1,024.70 × 462.82
  4. Step 4: Simplify right side
    742.23x = 474,252.81
  5. Step 5: Solve for x
    x = 474,252.81/742.23
  6. Step 6: Final answer
    x = 638.96

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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.