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Finding the Fourth Proportional to 532.75, 798.34 and 268.84

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Solution

The fourth proportional to 532.75, 798.34 and 268.84 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.75 : 798.34 = 268.84 : x
  2. Step 2: Convert to fraction form
    532.75/798.34 = 268.84/x
  3. Step 3: Cross multiply
    532.75x = 798.34 × 268.84
  4. Step 4: Simplify right side
    532.75x = 214,624.38
  5. Step 5: Solve for x
    x = 214,624.38/532.75
  6. Step 6: Final answer
    x = 402.87

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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.