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Finding the Fourth Proportional to 531.99, 797.59 and 268.61

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Solution

The fourth proportional to 531.99, 797.59 and 268.61 is: 402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.99 : 797.59 = 268.61 : x
  2. Step 2: Convert to fraction form
    531.99/797.59 = 268.61/x
  3. Step 3: Cross multiply
    531.99x = 797.59 × 268.61
  4. Step 4: Simplify right side
    531.99x = 214,236.66
  5. Step 5: Solve for x
    x = 214,236.66/531.99
  6. Step 6: Final answer
    x = 402.71

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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.