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Finding the Fourth Proportional to 831.74, 1,247.87 and 588.74

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Solution

The fourth proportional to 831.74, 1,247.87 and 588.74 is: 883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.74 : 1,247.87 = 588.74 : x
  2. Step 2: Convert to fraction form
    831.74/1,247.87 = 588.74/x
  3. Step 3: Cross multiply
    831.74x = 1,247.87 × 588.74
  4. Step 4: Simplify right side
    831.74x = 734,670.98
  5. Step 5: Solve for x
    x = 734,670.98/831.74
  6. Step 6: Final answer
    x = 883.29

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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.