Home / 1,723.19-2,378.25-977.33

Finding the Fourth Proportional to 1,723.19, 2,378.25 and 977.33

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Solution

The fourth proportional to 1,723.19, 2,378.25 and 977.33 is: 1,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.19 : 2,378.25 = 977.33 : x
  2. Step 2: Convert to fraction form
    1,723.19/2,378.25 = 977.33/x
  3. Step 3: Cross multiply
    1,723.19x = 2,378.25 × 977.33
  4. Step 4: Simplify right side
    1,723.19x = 2,324,341.02
  5. Step 5: Solve for x
    x = 2,324,341.02/1,723.19
  6. Step 6: Final answer
    x = 1,348.86

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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.