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Finding the Fourth Proportional to 742.70, 1,024.28 and 493.82

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Solution

The fourth proportional to 742.70, 1,024.28 and 493.82 is: 681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.70 : 1,024.28 = 493.82 : x
  2. Step 2: Convert to fraction form
    742.70/1,024.28 = 493.82/x
  3. Step 3: Cross multiply
    742.70x = 1,024.28 × 493.82
  4. Step 4: Simplify right side
    742.70x = 505,809.95
  5. Step 5: Solve for x
    x = 505,809.95/742.70
  6. Step 6: Final answer
    x = 681.04

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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.