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Finding the Fourth Proportional to 664.16, 997.20 and 491.36

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Solution

The fourth proportional to 664.16, 997.20 and 491.36 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.16 : 997.20 = 491.36 : x
  2. Step 2: Convert to fraction form
    664.16/997.20 = 491.36/x
  3. Step 3: Cross multiply
    664.16x = 997.20 × 491.36
  4. Step 4: Simplify right side
    664.16x = 489,984.19
  5. Step 5: Solve for x
    x = 489,984.19/664.16
  6. Step 6: Final answer
    x = 737.75

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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.