Home / 1,511.28-2,266.92-780.48

Finding the Fourth Proportional to 1,511.28, 2,266.92 and 780.48

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Solution

The fourth proportional to 1,511.28, 2,266.92 and 780.48 is: 1,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.28 : 2,266.92 = 780.48 : x
  2. Step 2: Convert to fraction form
    1,511.28/2,266.92 = 780.48/x
  3. Step 3: Cross multiply
    1,511.28x = 2,266.92 × 780.48
  4. Step 4: Simplify right side
    1,511.28x = 1,769,285.72
  5. Step 5: Solve for x
    x = 1,769,285.72/1,511.28
  6. Step 6: Final answer
    x = 1,170.72

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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.