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Finding the Fourth Proportional to 863.02, 1,295.90 and 831.60

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Solution

The fourth proportional to 863.02, 1,295.90 and 831.60 is: 1,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.02 : 1,295.90 = 831.60 : x
  2. Step 2: Convert to fraction form
    863.02/1,295.90 = 831.60/x
  3. Step 3: Cross multiply
    863.02x = 1,295.90 × 831.60
  4. Step 4: Simplify right side
    863.02x = 1,077,669.40
  5. Step 5: Solve for x
    x = 1,077,669.40/863.02
  6. Step 6: Final answer
    x = 1,248.72

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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.