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Finding the Fourth Proportional to 661.17, 992.78 and 631.95

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Solution

The fourth proportional to 661.17, 992.78 and 631.95 is: 948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.17 : 992.78 = 631.95 : x
  2. Step 2: Convert to fraction form
    661.17/992.78 = 631.95/x
  3. Step 3: Cross multiply
    661.17x = 992.78 × 631.95
  4. Step 4: Simplify right side
    661.17x = 627,387.32
  5. Step 5: Solve for x
    x = 627,387.32/661.17
  6. Step 6: Final answer
    x = 948.90

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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.