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Finding the Fourth Proportional to 983.18, 1,355.76 and 734.11

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Solution

The fourth proportional to 983.18, 1,355.76 and 734.11 is: 1,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.18 : 1,355.76 = 734.11 : x
  2. Step 2: Convert to fraction form
    983.18/1,355.76 = 734.11/x
  3. Step 3: Cross multiply
    983.18x = 1,355.76 × 734.11
  4. Step 4: Simplify right side
    983.18x = 995,273.58
  5. Step 5: Solve for x
    x = 995,273.58/983.18
  6. Step 6: Final answer
    x = 1,012.30

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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.