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Finding the Fourth Proportional to 541.49, 808.82 and 449.15

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Solution

The fourth proportional to 541.49, 808.82 and 449.15 is: 670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 808.82 = 449.15 : x
  2. Step 2: Convert to fraction form
    541.49/808.82 = 449.15/x
  3. Step 3: Cross multiply
    541.49x = 808.82 × 449.15
  4. Step 4: Simplify right side
    541.49x = 363,276.90
  5. Step 5: Solve for x
    x = 363,276.90/541.49
  6. Step 6: Final answer
    x = 670.89

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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.