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Finding the Fourth Proportional to 813.73, 1,122 and 592.78

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Solution

The fourth proportional to 813.73, 1,122 and 592.78 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.73 : 1,122 = 592.78 : x
  2. Step 2: Convert to fraction form
    813.73/1,122 = 592.78/x
  3. Step 3: Cross multiply
    813.73x = 1,122 × 592.78
  4. Step 4: Simplify right side
    813.73x = 665,099.16
  5. Step 5: Solve for x
    x = 665,099.16/813.73
  6. Step 6: Final answer
    x = 817.35

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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.