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Finding the Fourth Proportional to 887.13, 1,337.34 and 827.66

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Solution

The fourth proportional to 887.13, 1,337.34 and 827.66 is: 1,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.13 : 1,337.34 = 827.66 : x
  2. Step 2: Convert to fraction form
    887.13/1,337.34 = 827.66/x
  3. Step 3: Cross multiply
    887.13x = 1,337.34 × 827.66
  4. Step 4: Simplify right side
    887.13x = 1,106,862.82
  5. Step 5: Solve for x
    x = 1,106,862.82/887.13
  6. Step 6: Final answer
    x = 1,247.69

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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.