Home / 1,218.49-1,826.39-477.87

Finding the Fourth Proportional to 1,218.49, 1,826.39 and 477.87

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Solution

The fourth proportional to 1,218.49, 1,826.39 and 477.87 is: 716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.49 : 1,826.39 = 477.87 : x
  2. Step 2: Convert to fraction form
    1,218.49/1,826.39 = 477.87/x
  3. Step 3: Cross multiply
    1,218.49x = 1,826.39 × 477.87
  4. Step 4: Simplify right side
    1,218.49x = 872,785.03
  5. Step 5: Solve for x
    x = 872,785.03/1,218.49
  6. Step 6: Final answer
    x = 716.29

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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.