Home / 1,385.25-2,077.47-411.12

Finding the Fourth Proportional to 1,385.25, 2,077.47 and 411.12

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Solution

The fourth proportional to 1,385.25, 2,077.47 and 411.12 is: 616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.25 : 2,077.47 = 411.12 : x
  2. Step 2: Convert to fraction form
    1,385.25/2,077.47 = 411.12/x
  3. Step 3: Cross multiply
    1,385.25x = 2,077.47 × 411.12
  4. Step 4: Simplify right side
    1,385.25x = 854,089.47
  5. Step 5: Solve for x
    x = 854,089.47/1,385.25
  6. Step 6: Final answer
    x = 616.56

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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.