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Finding the Fourth Proportional to 779.97, 1,164.25 and 687.71

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Solution

The fourth proportional to 779.97, 1,164.25 and 687.71 is: 1,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.97 : 1,164.25 = 687.71 : x
  2. Step 2: Convert to fraction form
    779.97/1,164.25 = 687.71/x
  3. Step 3: Cross multiply
    779.97x = 1,164.25 × 687.71
  4. Step 4: Simplify right side
    779.97x = 800,666.37
  5. Step 5: Solve for x
    x = 800,666.37/779.97
  6. Step 6: Final answer
    x = 1,026.53

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