Home / 1,164.24-1,747.08-514.80

Finding the Fourth Proportional to 1,164.24, 1,747.08 and 514.80

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Solution

The fourth proportional to 1,164.24, 1,747.08 and 514.80 is: 772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.24 : 1,747.08 = 514.80 : x
  2. Step 2: Convert to fraction form
    1,164.24/1,747.08 = 514.80/x
  3. Step 3: Cross multiply
    1,164.24x = 1,747.08 × 514.80
  4. Step 4: Simplify right side
    1,164.24x = 899,396.78
  5. Step 5: Solve for x
    x = 899,396.78/1,164.24
  6. Step 6: Final answer
    x = 772.52

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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.