Home / 1,298.19-1,947.42-432.57

Finding the Fourth Proportional to 1,298.19, 1,947.42 and 432.57

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Solution

The fourth proportional to 1,298.19, 1,947.42 and 432.57 is: 648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.19 : 1,947.42 = 432.57 : x
  2. Step 2: Convert to fraction form
    1,298.19/1,947.42 = 432.57/x
  3. Step 3: Cross multiply
    1,298.19x = 1,947.42 × 432.57
  4. Step 4: Simplify right side
    1,298.19x = 842,395.47
  5. Step 5: Solve for x
    x = 842,395.47/1,298.19
  6. Step 6: Final answer
    x = 648.90

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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.