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Finding the Fourth Proportional to 632.78, 948.12 and 495.26

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Solution

The fourth proportional to 632.78, 948.12 and 495.26 is: 742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.78 : 948.12 = 495.26 : x
  2. Step 2: Convert to fraction form
    632.78/948.12 = 495.26/x
  3. Step 3: Cross multiply
    632.78x = 948.12 × 495.26
  4. Step 4: Simplify right side
    632.78x = 469,565.91
  5. Step 5: Solve for x
    x = 469,565.91/632.78
  6. Step 6: Final answer
    x = 742.07

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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.