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Finding the Fourth Proportional to 531.12, 792.84 and 449.20

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Solution

The fourth proportional to 531.12, 792.84 and 449.20 is: 670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.12 : 792.84 = 449.20 : x
  2. Step 2: Convert to fraction form
    531.12/792.84 = 449.20/x
  3. Step 3: Cross multiply
    531.12x = 792.84 × 449.20
  4. Step 4: Simplify right side
    531.12x = 356,143.73
  5. Step 5: Solve for x
    x = 356,143.73/531.12
  6. Step 6: Final answer
    x = 670.55

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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.