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Finding the Fourth Proportional to 768.22, 1,151.11 and 561.84

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Solution

The fourth proportional to 768.22, 1,151.11 and 561.84 is: 841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.22 : 1,151.11 = 561.84 : x
  2. Step 2: Convert to fraction form
    768.22/1,151.11 = 561.84/x
  3. Step 3: Cross multiply
    768.22x = 1,151.11 × 561.84
  4. Step 4: Simplify right side
    768.22x = 646,739.64
  5. Step 5: Solve for x
    x = 646,739.64/768.22
  6. Step 6: Final answer
    x = 841.87

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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.