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Finding the Fourth Proportional to 659.82, 991.02 and 631.11

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Solution

The fourth proportional to 659.82, 991.02 and 631.11 is: 947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 991.02 = 631.11 : x
  2. Step 2: Convert to fraction form
    659.82/991.02 = 631.11/x
  3. Step 3: Cross multiply
    659.82x = 991.02 × 631.11
  4. Step 4: Simplify right side
    659.82x = 625,442.63
  5. Step 5: Solve for x
    x = 625,442.63/659.82
  6. Step 6: Final answer
    x = 947.90

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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.