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Finding the Fourth Proportional to 632.24, 947.80 and 285.78

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Solution

The fourth proportional to 632.24, 947.80 and 285.78 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.24 : 947.80 = 285.78 : x
  2. Step 2: Convert to fraction form
    632.24/947.80 = 285.78/x
  3. Step 3: Cross multiply
    632.24x = 947.80 × 285.78
  4. Step 4: Simplify right side
    632.24x = 270,862.28
  5. Step 5: Solve for x
    x = 270,862.28/632.24
  6. Step 6: Final answer
    x = 428.42

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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.