Home / 1,511.23-2,266.99-524.04

Finding the Fourth Proportional to 1,511.23, 2,266.99 and 524.04

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Solution

The fourth proportional to 1,511.23, 2,266.99 and 524.04 is: 786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.23 : 2,266.99 = 524.04 : x
  2. Step 2: Convert to fraction form
    1,511.23/2,266.99 = 524.04/x
  3. Step 3: Cross multiply
    1,511.23x = 2,266.99 × 524.04
  4. Step 4: Simplify right side
    1,511.23x = 1,187,982.10
  5. Step 5: Solve for x
    x = 1,187,982.10/1,511.23
  6. Step 6: Final answer
    x = 786.11

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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.