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Finding the Fourth Proportional to 813.86, 1,123.35 and 482.30

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Solution

The fourth proportional to 813.86, 1,123.35 and 482.30 is: 665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.86 : 1,123.35 = 482.30 : x
  2. Step 2: Convert to fraction form
    813.86/1,123.35 = 482.30/x
  3. Step 3: Cross multiply
    813.86x = 1,123.35 × 482.30
  4. Step 4: Simplify right side
    813.86x = 541,791.71
  5. Step 5: Solve for x
    x = 541,791.71/813.86
  6. Step 6: Final answer
    x = 665.71

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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.