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Finding the Fourth Proportional to 449.38, 671.65 and 405.35

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Solution

The fourth proportional to 449.38, 671.65 and 405.35 is: 605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.38 : 671.65 = 405.35 : x
  2. Step 2: Convert to fraction form
    449.38/671.65 = 405.35/x
  3. Step 3: Cross multiply
    449.38x = 671.65 × 405.35
  4. Step 4: Simplify right side
    449.38x = 272,253.99
  5. Step 5: Solve for x
    x = 272,253.99/449.38
  6. Step 6: Final answer
    x = 605.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.