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Finding the Fourth Proportional to 983.71, 1,473.42 and 616.70

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Solution

The fourth proportional to 983.71, 1,473.42 and 616.70 is: 923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.71 : 1,473.42 = 616.70 : x
  2. Step 2: Convert to fraction form
    983.71/1,473.42 = 616.70/x
  3. Step 3: Cross multiply
    983.71x = 1,473.42 × 616.70
  4. Step 4: Simplify right side
    983.71x = 908,658.11
  5. Step 5: Solve for x
    x = 908,658.11/983.71
  6. Step 6: Final answer
    x = 923.71

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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.