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Finding the Fourth Proportional to 779.16, 1,166.31 and 662.52

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Solution

The fourth proportional to 779.16, 1,166.31 and 662.52 is: 991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.16 : 1,166.31 = 662.52 : x
  2. Step 2: Convert to fraction form
    779.16/1,166.31 = 662.52/x
  3. Step 3: Cross multiply
    779.16x = 1,166.31 × 662.52
  4. Step 4: Simplify right side
    779.16x = 772,703.70
  5. Step 5: Solve for x
    x = 772,703.70/779.16
  6. Step 6: Final answer
    x = 991.71

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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.