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Finding the Fourth Proportional to 449.65, 677.32 and 422.32

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Solution

The fourth proportional to 449.65, 677.32 and 422.32 is: 636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.65 : 677.32 = 422.32 : x
  2. Step 2: Convert to fraction form
    449.65/677.32 = 422.32/x
  3. Step 3: Cross multiply
    449.65x = 677.32 × 422.32
  4. Step 4: Simplify right side
    449.65x = 286,045.78
  5. Step 5: Solve for x
    x = 286,045.78/449.65
  6. Step 6: Final answer
    x = 636.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.