Home / 1,386.17-2,078.90-412.05

Finding the Fourth Proportional to 1,386.17, 2,078.90 and 412.05

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Solution

The fourth proportional to 1,386.17, 2,078.90 and 412.05 is: 617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.17 : 2,078.90 = 412.05 : x
  2. Step 2: Convert to fraction form
    1,386.17/2,078.90 = 412.05/x
  3. Step 3: Cross multiply
    1,386.17x = 2,078.90 × 412.05
  4. Step 4: Simplify right side
    1,386.17x = 856,610.75
  5. Step 5: Solve for x
    x = 856,610.75/1,386.17
  6. Step 6: Final answer
    x = 617.97

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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.