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Finding the Fourth Proportional to 632.54, 949.54 and 424.46

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Solution

The fourth proportional to 632.54, 949.54 and 424.46 is: 637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.54 : 949.54 = 424.46 : x
  2. Step 2: Convert to fraction form
    632.54/949.54 = 424.46/x
  3. Step 3: Cross multiply
    632.54x = 949.54 × 424.46
  4. Step 4: Simplify right side
    632.54x = 403,041.75
  5. Step 5: Solve for x
    x = 403,041.75/632.54
  6. Step 6: Final answer
    x = 637.18

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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.