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Finding the Fourth Proportional to 492.77, 733.11 and 463.61

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Solution

The fourth proportional to 492.77, 733.11 and 463.61 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.77 : 733.11 = 463.61 : x
  2. Step 2: Convert to fraction form
    492.77/733.11 = 463.61/x
  3. Step 3: Cross multiply
    492.77x = 733.11 × 463.61
  4. Step 4: Simplify right side
    492.77x = 339,873.46
  5. Step 5: Solve for x
    x = 339,873.46/492.77
  6. Step 6: Final answer
    x = 689.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.