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Finding the Fourth Proportional to 632.23, 949.15 and 425.33

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Solution

The fourth proportional to 632.23, 949.15 and 425.33 is: 638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.23 : 949.15 = 425.33 : x
  2. Step 2: Convert to fraction form
    632.23/949.15 = 425.33/x
  3. Step 3: Cross multiply
    632.23x = 949.15 × 425.33
  4. Step 4: Simplify right side
    632.23x = 403,697.22
  5. Step 5: Solve for x
    x = 403,697.22/632.23
  6. Step 6: Final answer
    x = 638.53

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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.