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Finding the Fourth Proportional to 478.89, 660.85 and 292.69

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Solution

The fourth proportional to 478.89, 660.85 and 292.69 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.89 : 660.85 = 292.69 : x
  2. Step 2: Convert to fraction form
    478.89/660.85 = 292.69/x
  3. Step 3: Cross multiply
    478.89x = 660.85 × 292.69
  4. Step 4: Simplify right side
    478.89x = 193,423.04
  5. Step 5: Solve for x
    x = 193,423.04/478.89
  6. Step 6: Final answer
    x = 403.90

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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.