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Finding the Fourth Proportional to 982.89, 1,474.23 and 616.59

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Solution

The fourth proportional to 982.89, 1,474.23 and 616.59 is: 924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.89 : 1,474.23 = 616.59 : x
  2. Step 2: Convert to fraction form
    982.89/1,474.23 = 616.59/x
  3. Step 3: Cross multiply
    982.89x = 1,474.23 × 616.59
  4. Step 4: Simplify right side
    982.89x = 908,995.48
  5. Step 5: Solve for x
    x = 908,995.48/982.89
  6. Step 6: Final answer
    x = 924.82

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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.