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Finding the Fourth Proportional to 874.02, 1,309.20 and 412.20

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Solution

The fourth proportional to 874.02, 1,309.20 and 412.20 is: 617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.02 : 1,309.20 = 412.20 : x
  2. Step 2: Convert to fraction form
    874.02/1,309.20 = 412.20/x
  3. Step 3: Cross multiply
    874.02x = 1,309.20 × 412.20
  4. Step 4: Simplify right side
    874.02x = 539,652.24
  5. Step 5: Solve for x
    x = 539,652.24/874.02
  6. Step 6: Final answer
    x = 617.44

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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.