Home / 1,586.15-2,378.20-762.78

Finding the Fourth Proportional to 1,586.15, 2,378.20 and 762.78

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Solution

The fourth proportional to 1,586.15, 2,378.20 and 762.78 is: 1,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.15 : 2,378.20 = 762.78 : x
  2. Step 2: Convert to fraction form
    1,586.15/2,378.20 = 762.78/x
  3. Step 3: Cross multiply
    1,586.15x = 2,378.20 × 762.78
  4. Step 4: Simplify right side
    1,586.15x = 1,814,043.40
  5. Step 5: Solve for x
    x = 1,814,043.40/1,586.15
  6. Step 6: Final answer
    x = 1,143.68

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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.