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Finding the Fourth Proportional to 868.96, 1,199.46 and 519.67

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Solution

The fourth proportional to 868.96, 1,199.46 and 519.67 is: 717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.96 : 1,199.46 = 519.67 : x
  2. Step 2: Convert to fraction form
    868.96/1,199.46 = 519.67/x
  3. Step 3: Cross multiply
    868.96x = 1,199.46 × 519.67
  4. Step 4: Simplify right side
    868.96x = 623,323.38
  5. Step 5: Solve for x
    x = 623,323.38/868.96
  6. Step 6: Final answer
    x = 717.32

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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.