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Finding the Fourth Proportional to 1,188.87, 1,640.61 and 691.50

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Solution

The fourth proportional to 1,188.87, 1,640.61 and 691.50 is: 954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.87 : 1,640.61 = 691.50 : x
  2. Step 2: Convert to fraction form
    1,188.87/1,640.61 = 691.50/x
  3. Step 3: Cross multiply
    1,188.87x = 1,640.61 × 691.50
  4. Step 4: Simplify right side
    1,188.87x = 1,134,481.82
  5. Step 5: Solve for x
    x = 1,134,481.82/1,188.87
  6. Step 6: Final answer
    x = 954.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.