Home / 1,645.32-2,270.46-946.71

Finding the Fourth Proportional to 1,645.32, 2,270.46 and 946.71

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Solution

The fourth proportional to 1,645.32, 2,270.46 and 946.71 is: 1,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.32 : 2,270.46 = 946.71 : x
  2. Step 2: Convert to fraction form
    1,645.32/2,270.46 = 946.71/x
  3. Step 3: Cross multiply
    1,645.32x = 2,270.46 × 946.71
  4. Step 4: Simplify right side
    1,645.32x = 2,149,467.19
  5. Step 5: Solve for x
    x = 2,149,467.19/1,645.32
  6. Step 6: Final answer
    x = 1,306.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.