Home / 1,386.24-2,078.66-461.47

Finding the Fourth Proportional to 1,386.24, 2,078.66 and 461.47

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Solution

The fourth proportional to 1,386.24, 2,078.66 and 461.47 is: 691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.24 : 2,078.66 = 461.47 : x
  2. Step 2: Convert to fraction form
    1,386.24/2,078.66 = 461.47/x
  3. Step 3: Cross multiply
    1,386.24x = 2,078.66 × 461.47
  4. Step 4: Simplify right side
    1,386.24x = 959,239.08
  5. Step 5: Solve for x
    x = 959,239.08/1,386.24
  6. Step 6: Final answer
    x = 691.97

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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.