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Finding the Fourth Proportional to 648.12, 971.71 and 335.95

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Solution

The fourth proportional to 648.12, 971.71 and 335.95 is: 503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.12 : 971.71 = 335.95 : x
  2. Step 2: Convert to fraction form
    648.12/971.71 = 335.95/x
  3. Step 3: Cross multiply
    648.12x = 971.71 × 335.95
  4. Step 4: Simplify right side
    648.12x = 326,445.97
  5. Step 5: Solve for x
    x = 326,445.97/648.12
  6. Step 6: Final answer
    x = 503.68

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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.