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Finding the Fourth Proportional to 665.41, 1,001.98 and 493.30

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Solution

The fourth proportional to 665.41, 1,001.98 and 493.30 is: 742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.41 : 1,001.98 = 493.30 : x
  2. Step 2: Convert to fraction form
    665.41/1,001.98 = 493.30/x
  3. Step 3: Cross multiply
    665.41x = 1,001.98 × 493.30
  4. Step 4: Simplify right side
    665.41x = 494,276.73
  5. Step 5: Solve for x
    x = 494,276.73/665.41
  6. Step 6: Final answer
    x = 742.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.