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Finding the Fourth Proportional to 983.74, 1,358.25 and 685.66

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Solution

The fourth proportional to 983.74, 1,358.25 and 685.66 is: 946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.74 : 1,358.25 = 685.66 : x
  2. Step 2: Convert to fraction form
    983.74/1,358.25 = 685.66/x
  3. Step 3: Cross multiply
    983.74x = 1,358.25 × 685.66
  4. Step 4: Simplify right side
    983.74x = 931,297.70
  5. Step 5: Solve for x
    x = 931,297.70/983.74
  6. Step 6: Final answer
    x = 946.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.