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Finding the Fourth Proportional to 531.91, 797.40 and 288.15

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Solution

The fourth proportional to 531.91, 797.40 and 288.15 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.91 : 797.40 = 288.15 : x
  2. Step 2: Convert to fraction form
    531.91/797.40 = 288.15/x
  3. Step 3: Cross multiply
    531.91x = 797.40 × 288.15
  4. Step 4: Simplify right side
    531.91x = 229,770.81
  5. Step 5: Solve for x
    x = 229,770.81/531.91
  6. Step 6: Final answer
    x = 431.97

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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.