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Finding the Fourth Proportional to 779.83, 1,162.31 and 736.04

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Solution

The fourth proportional to 779.83, 1,162.31 and 736.04 is: 1,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.83 : 1,162.31 = 736.04 : x
  2. Step 2: Convert to fraction form
    779.83/1,162.31 = 736.04/x
  3. Step 3: Cross multiply
    779.83x = 1,162.31 × 736.04
  4. Step 4: Simplify right side
    779.83x = 855,505.88
  5. Step 5: Solve for x
    x = 855,505.88/779.83
  6. Step 6: Final answer
    x = 1,097.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.