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Finding the Fourth Proportional to 874.60, 1,312 and 380.96

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Solution

The fourth proportional to 874.60, 1,312 and 380.96 is: 571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.60 : 1,312 = 380.96 : x
  2. Step 2: Convert to fraction form
    874.60/1,312 = 380.96/x
  3. Step 3: Cross multiply
    874.60x = 1,312 × 380.96
  4. Step 4: Simplify right side
    874.60x = 499,819.52
  5. Step 5: Solve for x
    x = 499,819.52/874.60
  6. Step 6: Final answer
    x = 571.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.