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Finding the Fourth Proportional to 866.75, 1,193.58 and 645.32

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Solution

The fourth proportional to 866.75, 1,193.58 and 645.32 is: 888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.75 : 1,193.58 = 645.32 : x
  2. Step 2: Convert to fraction form
    866.75/1,193.58 = 645.32/x
  3. Step 3: Cross multiply
    866.75x = 1,193.58 × 645.32
  4. Step 4: Simplify right side
    866.75x = 770,235.08
  5. Step 5: Solve for x
    x = 770,235.08/866.75
  6. Step 6: Final answer
    x = 888.65

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Double scale
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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.