Home / 1,462.20-2,189.73-769.45

Finding the Fourth Proportional to 1,462.20, 2,189.73 and 769.45

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Solution

The fourth proportional to 1,462.20, 2,189.73 and 769.45 is: 1,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.20 : 2,189.73 = 769.45 : x
  2. Step 2: Convert to fraction form
    1,462.20/2,189.73 = 769.45/x
  3. Step 3: Cross multiply
    1,462.20x = 2,189.73 × 769.45
  4. Step 4: Simplify right side
    1,462.20x = 1,684,887.75
  5. Step 5: Solve for x
    x = 1,684,887.75/1,462.20
  6. Step 6: Final answer
    x = 1,152.30

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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.