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Finding the Fourth Proportional to 886.90, 1,337.04 and 827.46

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Solution

The fourth proportional to 886.90, 1,337.04 and 827.46 is: 1,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.90 : 1,337.04 = 827.46 : x
  2. Step 2: Convert to fraction form
    886.90/1,337.04 = 827.46/x
  3. Step 3: Cross multiply
    886.90x = 1,337.04 × 827.46
  4. Step 4: Simplify right side
    886.90x = 1,106,347.12
  5. Step 5: Solve for x
    x = 1,106,347.12/886.90
  6. Step 6: Final answer
    x = 1,247.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.