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Finding the Fourth Proportional to 1,384.96, 2,077.78 and 411.06

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Solution

The fourth proportional to 1,384.96, 2,077.78 and 411.06 is: 616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.96 : 2,077.78 = 411.06 : x
  2. Step 2: Convert to fraction form
    1,384.96/2,077.78 = 411.06/x
  3. Step 3: Cross multiply
    1,384.96x = 2,077.78 × 411.06
  4. Step 4: Simplify right side
    1,384.96x = 854,092.25
  5. Step 5: Solve for x
    x = 854,092.25/1,384.96
  6. Step 6: Final answer
    x = 616.69

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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.