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Finding the Fourth Proportional to 531.08, 798.02 and 287.78

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Solution

The fourth proportional to 531.08, 798.02 and 287.78 is: 432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.08 : 798.02 = 287.78 : x
  2. Step 2: Convert to fraction form
    531.08/798.02 = 287.78/x
  3. Step 3: Cross multiply
    531.08x = 798.02 × 287.78
  4. Step 4: Simplify right side
    531.08x = 229,654.20
  5. Step 5: Solve for x
    x = 229,654.20/531.08
  6. Step 6: Final answer
    x = 432.43

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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.