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Finding the Fourth Proportional to 814.47, 1,123.90 and 482.85

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Solution

The fourth proportional to 814.47, 1,123.90 and 482.85 is: 666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.47 : 1,123.90 = 482.85 : x
  2. Step 2: Convert to fraction form
    814.47/1,123.90 = 482.85/x
  3. Step 3: Cross multiply
    814.47x = 1,123.90 × 482.85
  4. Step 4: Simplify right side
    814.47x = 542,671.50
  5. Step 5: Solve for x
    x = 542,671.50/814.47
  6. Step 6: Final answer
    x = 666.28

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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.