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Finding the Fourth Proportional to 449.64, 675.48 and 431.18

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Solution

The fourth proportional to 449.64, 675.48 and 431.18 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 675.48 = 431.18 : x
  2. Step 2: Convert to fraction form
    449.64/675.48 = 431.18/x
  3. Step 3: Cross multiply
    449.64x = 675.48 × 431.18
  4. Step 4: Simplify right side
    449.64x = 291,253.47
  5. Step 5: Solve for x
    x = 291,253.47/449.64
  6. Step 6: Final answer
    x = 647.75

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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.