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Finding the Fourth Proportional to 779.68, 1,162.56 and 693.82

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Solution

The fourth proportional to 779.68, 1,162.56 and 693.82 is: 1,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.68 : 1,162.56 = 693.82 : x
  2. Step 2: Convert to fraction form
    779.68/1,162.56 = 693.82/x
  3. Step 3: Cross multiply
    779.68x = 1,162.56 × 693.82
  4. Step 4: Simplify right side
    779.68x = 806,607.38
  5. Step 5: Solve for x
    x = 806,607.38/779.68
  6. Step 6: Final answer
    x = 1,034.54

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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.