Home / 1,511.50-2,266.41-523.78

Finding the Fourth Proportional to 1,511.50, 2,266.41 and 523.78

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Solution

The fourth proportional to 1,511.50, 2,266.41 and 523.78 is: 785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.50 : 2,266.41 = 523.78 : x
  2. Step 2: Convert to fraction form
    1,511.50/2,266.41 = 523.78/x
  3. Step 3: Cross multiply
    1,511.50x = 2,266.41 × 523.78
  4. Step 4: Simplify right side
    1,511.50x = 1,187,100.23
  5. Step 5: Solve for x
    x = 1,187,100.23/1,511.50
  6. Step 6: Final answer
    x = 785.38

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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.