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Finding the Fourth Proportional to 950.84, 1,426.23 and 720.17

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Solution

The fourth proportional to 950.84, 1,426.23 and 720.17 is: 1,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.84 : 1,426.23 = 720.17 : x
  2. Step 2: Convert to fraction form
    950.84/1,426.23 = 720.17/x
  3. Step 3: Cross multiply
    950.84x = 1,426.23 × 720.17
  4. Step 4: Simplify right side
    950.84x = 1,027,124.29
  5. Step 5: Solve for x
    x = 1,027,124.29/950.84
  6. Step 6: Final answer
    x = 1,080.23

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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.