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Finding the Fourth Proportional to 449.28, 675.15 and 420.12

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Solution

The fourth proportional to 449.28, 675.15 and 420.12 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 675.15 = 420.12 : x
  2. Step 2: Convert to fraction form
    449.28/675.15 = 420.12/x
  3. Step 3: Cross multiply
    449.28x = 675.15 × 420.12
  4. Step 4: Simplify right side
    449.28x = 283,644.02
  5. Step 5: Solve for x
    x = 283,644.02/449.28
  6. Step 6: Final answer
    x = 631.33

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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.