Home / 1,385.17-2,077.75-411.20

Finding the Fourth Proportional to 1,385.17, 2,077.75 and 411.20

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Solution

The fourth proportional to 1,385.17, 2,077.75 and 411.20 is: 616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.17 : 2,077.75 = 411.20 : x
  2. Step 2: Convert to fraction form
    1,385.17/2,077.75 = 411.20/x
  3. Step 3: Cross multiply
    1,385.17x = 2,077.75 × 411.20
  4. Step 4: Simplify right side
    1,385.17x = 854,368.74
  5. Step 5: Solve for x
    x = 854,368.74/1,385.17
  6. Step 6: Final answer
    x = 616.80

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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.