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Finding the Fourth Proportional to 1,014.13, 1,398.22 and 827.43

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Solution

The fourth proportional to 1,014.13, 1,398.22 and 827.43 is: 1,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.13 : 1,398.22 = 827.43 : x
  2. Step 2: Convert to fraction form
    1,014.13/1,398.22 = 827.43/x
  3. Step 3: Cross multiply
    1,014.13x = 1,398.22 × 827.43
  4. Step 4: Simplify right side
    1,014.13x = 1,156,929.17
  5. Step 5: Solve for x
    x = 1,156,929.17/1,014.13
  6. Step 6: Final answer
    x = 1,140.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.