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Finding the Fourth Proportional to 983.97, 1,474.29 and 617.94

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Solution

The fourth proportional to 983.97, 1,474.29 and 617.94 is: 925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.97 : 1,474.29 = 617.94 : x
  2. Step 2: Convert to fraction form
    983.97/1,474.29 = 617.94/x
  3. Step 3: Cross multiply
    983.97x = 1,474.29 × 617.94
  4. Step 4: Simplify right side
    983.97x = 911,022.76
  5. Step 5: Solve for x
    x = 911,022.76/983.97
  6. Step 6: Final answer
    x = 925.86

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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.