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Finding the Fourth Proportional to 664.12, 990.33 and 617.94

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Solution

The fourth proportional to 664.12, 990.33 and 617.94 is: 921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.12 : 990.33 = 617.94 : x
  2. Step 2: Convert to fraction form
    664.12/990.33 = 617.94/x
  3. Step 3: Cross multiply
    664.12x = 990.33 × 617.94
  4. Step 4: Simplify right side
    664.12x = 611,964.52
  5. Step 5: Solve for x
    x = 611,964.52/664.12
  6. Step 6: Final answer
    x = 921.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.