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Finding the Fourth Proportional to 772.92, 1,062.84 and 661.92

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Solution

The fourth proportional to 772.92, 1,062.84 and 661.92 is: 910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.92 : 1,062.84 = 661.92 : x
  2. Step 2: Convert to fraction form
    772.92/1,062.84 = 661.92/x
  3. Step 3: Cross multiply
    772.92x = 1,062.84 × 661.92
  4. Step 4: Simplify right side
    772.92x = 703,515.05
  5. Step 5: Solve for x
    x = 703,515.05/772.92
  6. Step 6: Final answer
    x = 910.20

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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.