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Finding the Fourth Proportional to 648.41, 971.70 and 282.43

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Solution

The fourth proportional to 648.41, 971.70 and 282.43 is: 423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 971.70 = 282.43 : x
  2. Step 2: Convert to fraction form
    648.41/971.70 = 282.43/x
  3. Step 3: Cross multiply
    648.41x = 971.70 × 282.43
  4. Step 4: Simplify right side
    648.41x = 274,434.27
  5. Step 5: Solve for x
    x = 274,434.27/648.41
  6. Step 6: Final answer
    x = 423.24

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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.