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Finding the Fourth Proportional to 1,400.78, 2,101.41 and 578.61

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Solution

The fourth proportional to 1,400.78, 2,101.41 and 578.61 is: 868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.78 : 2,101.41 = 578.61 : x
  2. Step 2: Convert to fraction form
    1,400.78/2,101.41 = 578.61/x
  3. Step 3: Cross multiply
    1,400.78x = 2,101.41 × 578.61
  4. Step 4: Simplify right side
    1,400.78x = 1,215,896.84
  5. Step 5: Solve for x
    x = 1,215,896.84/1,400.78
  6. Step 6: Final answer
    x = 868.01

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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.