Home / 1,385.11-2,077.31-410.98

Finding the Fourth Proportional to 1,385.11, 2,077.31 and 410.98

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Solution

The fourth proportional to 1,385.11, 2,077.31 and 410.98 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.11 : 2,077.31 = 410.98 : x
  2. Step 2: Convert to fraction form
    1,385.11/2,077.31 = 410.98/x
  3. Step 3: Cross multiply
    1,385.11x = 2,077.31 × 410.98
  4. Step 4: Simplify right side
    1,385.11x = 853,732.86
  5. Step 5: Solve for x
    x = 853,732.86/1,385.11
  6. Step 6: Final answer
    x = 616.36

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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.