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Finding the Fourth Proportional to 664.70, 992.19 and 616.52

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Solution

The fourth proportional to 664.70, 992.19 and 616.52 is: 920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.70 : 992.19 = 616.52 : x
  2. Step 2: Convert to fraction form
    664.70/992.19 = 616.52/x
  3. Step 3: Cross multiply
    664.70x = 992.19 × 616.52
  4. Step 4: Simplify right side
    664.70x = 611,704.98
  5. Step 5: Solve for x
    x = 611,704.98/664.70
  6. Step 6: Final answer
    x = 920.27

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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.