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Finding the Fourth Proportional to 814.27, 1,122.53 and 580.99

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Solution

The fourth proportional to 814.27, 1,122.53 and 580.99 is: 800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.27 : 1,122.53 = 580.99 : x
  2. Step 2: Convert to fraction form
    814.27/1,122.53 = 580.99/x
  3. Step 3: Cross multiply
    814.27x = 1,122.53 × 580.99
  4. Step 4: Simplify right side
    814.27x = 652,178.70
  5. Step 5: Solve for x
    x = 652,178.70/814.27
  6. Step 6: Final answer
    x = 800.94

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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.