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Finding the Fourth Proportional to 950.65, 1,424 and 559.47

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Solution

The fourth proportional to 950.65, 1,424 and 559.47 is: 838.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.65 : 1,424 = 559.47 : x
  2. Step 2: Convert to fraction form
    950.65/1,424 = 559.47/x
  3. Step 3: Cross multiply
    950.65x = 1,424 × 559.47
  4. Step 4: Simplify right side
    950.65x = 796,685.28
  5. Step 5: Solve for x
    x = 796,685.28/950.65
  6. Step 6: Final answer
    x = 838.04

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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.