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Finding the Fourth Proportional to 874.05, 1,311.11 and 289.07

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Solution

The fourth proportional to 874.05, 1,311.11 and 289.07 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.05 : 1,311.11 = 289.07 : x
  2. Step 2: Convert to fraction form
    874.05/1,311.11 = 289.07/x
  3. Step 3: Cross multiply
    874.05x = 1,311.11 × 289.07
  4. Step 4: Simplify right side
    874.05x = 379,001.38
  5. Step 5: Solve for x
    x = 379,001.38/874.05
  6. Step 6: Final answer
    x = 433.61

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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.