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Finding the Fourth Proportional to 532.83, 798.81 and 258.78

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Solution

The fourth proportional to 532.83, 798.81 and 258.78 is: 387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 798.81 = 258.78 : x
  2. Step 2: Convert to fraction form
    532.83/798.81 = 258.78/x
  3. Step 3: Cross multiply
    532.83x = 798.81 × 258.78
  4. Step 4: Simplify right side
    532.83x = 206,716.05
  5. Step 5: Solve for x
    x = 206,716.05/532.83
  6. Step 6: Final answer
    x = 387.96

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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.