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Finding the Fourth Proportional to 814.33, 1,123.77 and 482.77

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Solution

The fourth proportional to 814.33, 1,123.77 and 482.77 is: 666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.33 : 1,123.77 = 482.77 : x
  2. Step 2: Convert to fraction form
    814.33/1,123.77 = 482.77/x
  3. Step 3: Cross multiply
    814.33x = 1,123.77 × 482.77
  4. Step 4: Simplify right side
    814.33x = 542,525.71
  5. Step 5: Solve for x
    x = 542,525.71/814.33
  6. Step 6: Final answer
    x = 666.23

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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.