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Finding the Fourth Proportional to 425.59, 638.34 and 263.23

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Solution

The fourth proportional to 425.59, 638.34 and 263.23 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.59 : 638.34 = 263.23 : x
  2. Step 2: Convert to fraction form
    425.59/638.34 = 263.23/x
  3. Step 3: Cross multiply
    425.59x = 638.34 × 263.23
  4. Step 4: Simplify right side
    425.59x = 168,030.24
  5. Step 5: Solve for x
    x = 168,030.24/425.59
  6. Step 6: Final answer
    x = 394.82

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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.