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Finding the Fourth Proportional to 983.67, 1,349.22 and 930.81

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Solution

The fourth proportional to 983.67, 1,349.22 and 930.81 is: 1,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.67 : 1,349.22 = 930.81 : x
  2. Step 2: Convert to fraction form
    983.67/1,349.22 = 930.81/x
  3. Step 3: Cross multiply
    983.67x = 1,349.22 × 930.81
  4. Step 4: Simplify right side
    983.67x = 1,255,867.47
  5. Step 5: Solve for x
    x = 1,255,867.47/983.67
  6. Step 6: Final answer
    x = 1,276.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.