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Finding the Fourth Proportional to 531.74, 797.84 and 287.97

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Solution

The fourth proportional to 531.74, 797.84 and 287.97 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 797.84 = 287.97 : x
  2. Step 2: Convert to fraction form
    531.74/797.84 = 287.97/x
  3. Step 3: Cross multiply
    531.74x = 797.84 × 287.97
  4. Step 4: Simplify right side
    531.74x = 229,753.98
  5. Step 5: Solve for x
    x = 229,753.98/531.74
  6. Step 6: Final answer
    x = 432.08

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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.