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Finding the Fourth Proportional to 784.92, 1,083.06 and 721.20

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Solution

The fourth proportional to 784.92, 1,083.06 and 721.20 is: 995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,083.06 = 721.20 : x
  2. Step 2: Convert to fraction form
    784.92/1,083.06 = 721.20/x
  3. Step 3: Cross multiply
    784.92x = 1,083.06 × 721.20
  4. Step 4: Simplify right side
    784.92x = 781,102.87
  5. Step 5: Solve for x
    x = 781,102.87/784.92
  6. Step 6: Final answer
    x = 995.14

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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.