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Finding the Fourth Proportional to 950.80, 1,423.77 and 842.26

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Solution

The fourth proportional to 950.80, 1,423.77 and 842.26 is: 1,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.80 : 1,423.77 = 842.26 : x
  2. Step 2: Convert to fraction form
    950.80/1,423.77 = 842.26/x
  3. Step 3: Cross multiply
    950.80x = 1,423.77 × 842.26
  4. Step 4: Simplify right side
    950.80x = 1,199,184.52
  5. Step 5: Solve for x
    x = 1,199,184.52/950.80
  6. Step 6: Final answer
    x = 1,261.24

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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.