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Finding the Fourth Proportional to 1,386.37, 2,078.78 and 461.43

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Solution

The fourth proportional to 1,386.37, 2,078.78 and 461.43 is: 691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.37 : 2,078.78 = 461.43 : x
  2. Step 2: Convert to fraction form
    1,386.37/2,078.78 = 461.43/x
  3. Step 3: Cross multiply
    1,386.37x = 2,078.78 × 461.43
  4. Step 4: Simplify right side
    1,386.37x = 959,209.15
  5. Step 5: Solve for x
    x = 959,209.15/1,386.37
  6. Step 6: Final answer
    x = 691.88

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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.