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Finding the Fourth Proportional to 805.73, 1,111.64 and 553.65

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Solution

The fourth proportional to 805.73, 1,111.64 and 553.65 is: 763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.73 : 1,111.64 = 553.65 : x
  2. Step 2: Convert to fraction form
    805.73/1,111.64 = 553.65/x
  3. Step 3: Cross multiply
    805.73x = 1,111.64 × 553.65
  4. Step 4: Simplify right side
    805.73x = 615,456.72
  5. Step 5: Solve for x
    x = 615,456.72/805.73
  6. Step 6: Final answer
    x = 763.85

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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.