Home / 1,465.71-2,198.07-734.78

Finding the Fourth Proportional to 1,465.71, 2,198.07 and 734.78

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Solution

The fourth proportional to 1,465.71, 2,198.07 and 734.78 is: 1,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.71 : 2,198.07 = 734.78 : x
  2. Step 2: Convert to fraction form
    1,465.71/2,198.07 = 734.78/x
  3. Step 3: Cross multiply
    1,465.71x = 2,198.07 × 734.78
  4. Step 4: Simplify right side
    1,465.71x = 1,615,097.87
  5. Step 5: Solve for x
    x = 1,615,097.87/1,465.71
  6. Step 6: Final answer
    x = 1,101.92

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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.