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Finding the Fourth Proportional to 813.36, 1,123.42 and 591.96

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Solution

The fourth proportional to 813.36, 1,123.42 and 591.96 is: 817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.36 : 1,123.42 = 591.96 : x
  2. Step 2: Convert to fraction form
    813.36/1,123.42 = 591.96/x
  3. Step 3: Cross multiply
    813.36x = 1,123.42 × 591.96
  4. Step 4: Simplify right side
    813.36x = 665,019.70
  5. Step 5: Solve for x
    x = 665,019.70/813.36
  6. Step 6: Final answer
    x = 817.62

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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.