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Finding the Fourth Proportional to 648.44, 972.78 and 283.22

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Solution

The fourth proportional to 648.44, 972.78 and 283.22 is: 424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.44 : 972.78 = 283.22 : x
  2. Step 2: Convert to fraction form
    648.44/972.78 = 283.22/x
  3. Step 3: Cross multiply
    648.44x = 972.78 × 283.22
  4. Step 4: Simplify right side
    648.44x = 275,510.75
  5. Step 5: Solve for x
    x = 275,510.75/648.44
  6. Step 6: Final answer
    x = 424.88

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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.