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Finding the Fourth Proportional to 609.64, 916.38 and 439.72

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Solution

The fourth proportional to 609.64, 916.38 and 439.72 is: 660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.64 : 916.38 = 439.72 : x
  2. Step 2: Convert to fraction form
    609.64/916.38 = 439.72/x
  3. Step 3: Cross multiply
    609.64x = 916.38 × 439.72
  4. Step 4: Simplify right side
    609.64x = 402,950.61
  5. Step 5: Solve for x
    x = 402,950.61/609.64
  6. Step 6: Final answer
    x = 660.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.