Home / 1,385.16-2,077.44-411.03

Finding the Fourth Proportional to 1,385.16, 2,077.44 and 411.03

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Solution

The fourth proportional to 1,385.16, 2,077.44 and 411.03 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.16 : 2,077.44 = 411.03 : x
  2. Step 2: Convert to fraction form
    1,385.16/2,077.44 = 411.03/x
  3. Step 3: Cross multiply
    1,385.16x = 2,077.44 × 411.03
  4. Step 4: Simplify right side
    1,385.16x = 853,890.16
  5. Step 5: Solve for x
    x = 853,890.16/1,385.16
  6. Step 6: Final answer
    x = 616.46

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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.