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Finding the Fourth Proportional to 565.29, 847.62 and 449.40

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Solution

The fourth proportional to 565.29, 847.62 and 449.40 is: 673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 847.62 = 449.40 : x
  2. Step 2: Convert to fraction form
    565.29/847.62 = 449.40/x
  3. Step 3: Cross multiply
    565.29x = 847.62 × 449.40
  4. Step 4: Simplify right side
    565.29x = 380,920.43
  5. Step 5: Solve for x
    x = 380,920.43/565.29
  6. Step 6: Final answer
    x = 673.85

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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.