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Finding the Fourth Proportional to 767.26, 1,150.25 and 280.00

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Solution

The fourth proportional to 767.26, 1,150.25 and 280.00 is: 419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.26 : 1,150.25 = 280.00 : x
  2. Step 2: Convert to fraction form
    767.26/1,150.25 = 280.00/x
  3. Step 3: Cross multiply
    767.26x = 1,150.25 × 280.00
  4. Step 4: Simplify right side
    767.26x = 322,064.25
  5. Step 5: Solve for x
    x = 322,064.25/767.26
  6. Step 6: Final answer
    x = 419.76

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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.