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Finding the Fourth Proportional to 950.84, 1,422.67 and 561.05

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Solution

The fourth proportional to 950.84, 1,422.67 and 561.05 is: 839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.84 : 1,422.67 = 561.05 : x
  2. Step 2: Convert to fraction form
    950.84/1,422.67 = 561.05/x
  3. Step 3: Cross multiply
    950.84x = 1,422.67 × 561.05
  4. Step 4: Simplify right side
    950.84x = 798,191.27
  5. Step 5: Solve for x
    x = 798,191.27/950.84
  6. Step 6: Final answer
    x = 839.46

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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.