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Finding the Fourth Proportional to 1,385.20, 2,078.20 and 411.32

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Solution

The fourth proportional to 1,385.20, 2,078.20 and 411.32 is: 617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.20 : 2,078.20 = 411.32 : x
  2. Step 2: Convert to fraction form
    1,385.20/2,078.20 = 411.32/x
  3. Step 3: Cross multiply
    1,385.20x = 2,078.20 × 411.32
  4. Step 4: Simplify right side
    1,385.20x = 854,805.22
  5. Step 5: Solve for x
    x = 854,805.22/1,385.20
  6. Step 6: Final answer
    x = 617.10

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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.