Home / 1,601.40-2,399.96-777.20

Finding the Fourth Proportional to 1,601.40, 2,399.96 and 777.20

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Solution

The fourth proportional to 1,601.40, 2,399.96 and 777.20 is: 1,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.40 : 2,399.96 = 777.20 : x
  2. Step 2: Convert to fraction form
    1,601.40/2,399.96 = 777.20/x
  3. Step 3: Cross multiply
    1,601.40x = 2,399.96 × 777.20
  4. Step 4: Simplify right side
    1,601.40x = 1,865,238.86
  5. Step 5: Solve for x
    x = 1,865,238.86/1,601.40
  6. Step 6: Final answer
    x = 1,164.75

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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.