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Finding the Fourth Proportional to 865.19, 1,193.43 and 628.82

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Solution

The fourth proportional to 865.19, 1,193.43 and 628.82 is: 867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.19 : 1,193.43 = 628.82 : x
  2. Step 2: Convert to fraction form
    865.19/1,193.43 = 628.82/x
  3. Step 3: Cross multiply
    865.19x = 1,193.43 × 628.82
  4. Step 4: Simplify right side
    865.19x = 750,446.69
  5. Step 5: Solve for x
    x = 750,446.69/865.19
  6. Step 6: Final answer
    x = 867.38

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Double scale
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1.5x scale

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.