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Finding the Fourth Proportional to 874.91, 1,312.38 and 225.65

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Solution

The fourth proportional to 874.91, 1,312.38 and 225.65 is: 338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.91 : 1,312.38 = 225.65 : x
  2. Step 2: Convert to fraction form
    874.91/1,312.38 = 225.65/x
  3. Step 3: Cross multiply
    874.91x = 1,312.38 × 225.65
  4. Step 4: Simplify right side
    874.91x = 296,138.55
  5. Step 5: Solve for x
    x = 296,138.55/874.91
  6. Step 6: Final answer
    x = 338.48

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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.