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Finding the Fourth Proportional to 492.55, 677.61 and 478.89

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Solution

The fourth proportional to 492.55, 677.61 and 478.89 is: 658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.55 : 677.61 = 478.89 : x
  2. Step 2: Convert to fraction form
    492.55/677.61 = 478.89/x
  3. Step 3: Cross multiply
    492.55x = 677.61 × 478.89
  4. Step 4: Simplify right side
    492.55x = 324,500.65
  5. Step 5: Solve for x
    x = 324,500.65/492.55
  6. Step 6: Final answer
    x = 658.82

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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.