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Finding the Fourth Proportional to 886.50, 1,323.90 and 839.16

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Solution

The fourth proportional to 886.50, 1,323.90 and 839.16 is: 1,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.50 : 1,323.90 = 839.16 : x
  2. Step 2: Convert to fraction form
    886.50/1,323.90 = 839.16/x
  3. Step 3: Cross multiply
    886.50x = 1,323.90 × 839.16
  4. Step 4: Simplify right side
    886.50x = 1,110,963.92
  5. Step 5: Solve for x
    x = 1,110,963.92/886.50
  6. Step 6: Final answer
    x = 1,253.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.