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Finding the Fourth Proportional to 795.67, 1,187.82 and 691.90

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Solution

The fourth proportional to 795.67, 1,187.82 and 691.90 is: 1,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.67 : 1,187.82 = 691.90 : x
  2. Step 2: Convert to fraction form
    795.67/1,187.82 = 691.90/x
  3. Step 3: Cross multiply
    795.67x = 1,187.82 × 691.90
  4. Step 4: Simplify right side
    795.67x = 821,849.69
  5. Step 5: Solve for x
    x = 821,849.69/795.67
  6. Step 6: Final answer
    x = 1,032.91

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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.