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Finding the Fourth Proportional to 874.95, 1,312.39 and 225.67

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Solution

The fourth proportional to 874.95, 1,312.39 and 225.67 is: 338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.95 : 1,312.39 = 225.67 : x
  2. Step 2: Convert to fraction form
    874.95/1,312.39 = 225.67/x
  3. Step 3: Cross multiply
    874.95x = 1,312.39 × 225.67
  4. Step 4: Simplify right side
    874.95x = 296,167.05
  5. Step 5: Solve for x
    x = 296,167.05/874.95
  6. Step 6: Final answer
    x = 338.50

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Half scale
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Double scale
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Similar ratio
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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.