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Finding the Fourth Proportional to 779.96, 1,171.13 and 671.46

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Solution

The fourth proportional to 779.96, 1,171.13 and 671.46 is: 1,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.96 : 1,171.13 = 671.46 : x
  2. Step 2: Convert to fraction form
    779.96/1,171.13 = 671.46/x
  3. Step 3: Cross multiply
    779.96x = 1,171.13 × 671.46
  4. Step 4: Simplify right side
    779.96x = 786,359.20
  5. Step 5: Solve for x
    x = 786,359.20/779.96
  6. Step 6: Final answer
    x = 1,008.20

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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.