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Finding the Fourth Proportional to 874.72, 1,311.90 and 412.30

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Solution

The fourth proportional to 874.72, 1,311.90 and 412.30 is: 618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.72 : 1,311.90 = 412.30 : x
  2. Step 2: Convert to fraction form
    874.72/1,311.90 = 412.30/x
  3. Step 3: Cross multiply
    874.72x = 1,311.90 × 412.30
  4. Step 4: Simplify right side
    874.72x = 540,896.37
  5. Step 5: Solve for x
    x = 540,896.37/874.72
  6. Step 6: Final answer
    x = 618.37

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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.