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Finding the Fourth Proportional to 425.77, 634.90 and 392.11

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Solution

The fourth proportional to 425.77, 634.90 and 392.11 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.77 : 634.90 = 392.11 : x
  2. Step 2: Convert to fraction form
    425.77/634.90 = 392.11/x
  3. Step 3: Cross multiply
    425.77x = 634.90 × 392.11
  4. Step 4: Simplify right side
    425.77x = 248,947.46
  5. Step 5: Solve for x
    x = 248,947.46/425.77
  6. Step 6: Final answer
    x = 584.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.