Home / 1,723.20-2,378.28-977.25

Finding the Fourth Proportional to 1,723.20, 2,378.28 and 977.25

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Solution

The fourth proportional to 1,723.20, 2,378.28 and 977.25 is: 1,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.20 : 2,378.28 = 977.25 : x
  2. Step 2: Convert to fraction form
    1,723.20/2,378.28 = 977.25/x
  3. Step 3: Cross multiply
    1,723.20x = 2,378.28 × 977.25
  4. Step 4: Simplify right side
    1,723.20x = 2,324,174.13
  5. Step 5: Solve for x
    x = 2,324,174.13/1,723.20
  6. Step 6: Final answer
    x = 1,348.75

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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.