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Finding the Fourth Proportional to 814.29, 1,122.17 and 581.01

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Solution

The fourth proportional to 814.29, 1,122.17 and 581.01 is: 800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.29 : 1,122.17 = 581.01 : x
  2. Step 2: Convert to fraction form
    814.29/1,122.17 = 581.01/x
  3. Step 3: Cross multiply
    814.29x = 1,122.17 × 581.01
  4. Step 4: Simplify right side
    814.29x = 651,989.09
  5. Step 5: Solve for x
    x = 651,989.09/814.29
  6. Step 6: Final answer
    x = 800.68

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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.