Home / 1,298.31-1,947.74-432.69

Finding the Fourth Proportional to 1,298.31, 1,947.74 and 432.69

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Solution

The fourth proportional to 1,298.31, 1,947.74 and 432.69 is: 649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.31 : 1,947.74 = 432.69 : x
  2. Step 2: Convert to fraction form
    1,298.31/1,947.74 = 432.69/x
  3. Step 3: Cross multiply
    1,298.31x = 1,947.74 × 432.69
  4. Step 4: Simplify right side
    1,298.31x = 842,767.62
  5. Step 5: Solve for x
    x = 842,767.62/1,298.31
  6. Step 6: Final answer
    x = 649.13

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1.5x scale

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.