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Finding the Fourth Proportional to 662.47, 913.99 and 382.61

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Solution

The fourth proportional to 662.47, 913.99 and 382.61 is: 527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.47 : 913.99 = 382.61 : x
  2. Step 2: Convert to fraction form
    662.47/913.99 = 382.61/x
  3. Step 3: Cross multiply
    662.47x = 913.99 × 382.61
  4. Step 4: Simplify right side
    662.47x = 349,701.71
  5. Step 5: Solve for x
    x = 349,701.71/662.47
  6. Step 6: Final answer
    x = 527.88

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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.