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Finding the Fourth Proportional to 779.00, 1,170.80 and 721.71

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Solution

The fourth proportional to 779.00, 1,170.80 and 721.71 is: 1,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.00 : 1,170.80 = 721.71 : x
  2. Step 2: Convert to fraction form
    779.00/1,170.80 = 721.71/x
  3. Step 3: Cross multiply
    779.00x = 1,170.80 × 721.71
  4. Step 4: Simplify right side
    779.00x = 844,974.46
  5. Step 5: Solve for x
    x = 844,974.46/779.00
  6. Step 6: Final answer
    x = 1,084.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.