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Finding the Fourth Proportional to 532.57, 798.51 and 254.78

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Solution

The fourth proportional to 532.57, 798.51 and 254.78 is: 382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.57 : 798.51 = 254.78 : x
  2. Step 2: Convert to fraction form
    532.57/798.51 = 254.78/x
  3. Step 3: Cross multiply
    532.57x = 798.51 × 254.78
  4. Step 4: Simplify right side
    532.57x = 203,440.39
  5. Step 5: Solve for x
    x = 203,440.39/532.57
  6. Step 6: Final answer
    x = 382.00

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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.