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Finding the Fourth Proportional to 767.22, 1,151.01 and 280.50

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Solution

The fourth proportional to 767.22, 1,151.01 and 280.50 is: 420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.22 : 1,151.01 = 280.50 : x
  2. Step 2: Convert to fraction form
    767.22/1,151.01 = 280.50/x
  3. Step 3: Cross multiply
    767.22x = 1,151.01 × 280.50
  4. Step 4: Simplify right side
    767.22x = 322,858.31
  5. Step 5: Solve for x
    x = 322,858.31/767.22
  6. Step 6: Final answer
    x = 420.82

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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.