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Finding the Fourth Proportional to 664.75, 997.39 and 647.11

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Solution

The fourth proportional to 664.75, 997.39 and 647.11 is: 970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.75 : 997.39 = 647.11 : x
  2. Step 2: Convert to fraction form
    664.75/997.39 = 647.11/x
  3. Step 3: Cross multiply
    664.75x = 997.39 × 647.11
  4. Step 4: Simplify right side
    664.75x = 645,421.04
  5. Step 5: Solve for x
    x = 645,421.04/664.75
  6. Step 6: Final answer
    x = 970.92

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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.