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Finding the Fourth Proportional to 648.30, 971.88 and 296.76

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Solution

The fourth proportional to 648.30, 971.88 and 296.76 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 971.88 = 296.76 : x
  2. Step 2: Convert to fraction form
    648.30/971.88 = 296.76/x
  3. Step 3: Cross multiply
    648.30x = 971.88 × 296.76
  4. Step 4: Simplify right side
    648.30x = 288,415.11
  5. Step 5: Solve for x
    x = 288,415.11/648.30
  6. Step 6: Final answer
    x = 444.88

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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.