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Finding the Fourth Proportional to 831.72, 1,248.66 and 639.48

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Solution

The fourth proportional to 831.72, 1,248.66 and 639.48 is: 960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,248.66 = 639.48 : x
  2. Step 2: Convert to fraction form
    831.72/1,248.66 = 639.48/x
  3. Step 3: Cross multiply
    831.72x = 1,248.66 × 639.48
  4. Step 4: Simplify right side
    831.72x = 798,493.10
  5. Step 5: Solve for x
    x = 798,493.10/831.72
  6. Step 6: Final answer
    x = 960.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.