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Finding the Fourth Proportional to 541.46, 808.98 and 449.12

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Solution

The fourth proportional to 541.46, 808.98 and 449.12 is: 671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 808.98 = 449.12 : x
  2. Step 2: Convert to fraction form
    541.46/808.98 = 449.12/x
  3. Step 3: Cross multiply
    541.46x = 808.98 × 449.12
  4. Step 4: Simplify right side
    541.46x = 363,326.85
  5. Step 5: Solve for x
    x = 363,326.85/541.46
  6. Step 6: Final answer
    x = 671.01

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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.