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Finding the Fourth Proportional to 950.62, 1,423.94 and 764.51

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Solution

The fourth proportional to 950.62, 1,423.94 and 764.51 is: 1,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.62 : 1,423.94 = 764.51 : x
  2. Step 2: Convert to fraction form
    950.62/1,423.94 = 764.51/x
  3. Step 3: Cross multiply
    950.62x = 1,423.94 × 764.51
  4. Step 4: Simplify right side
    950.62x = 1,088,618.02
  5. Step 5: Solve for x
    x = 1,088,618.02/950.62
  6. Step 6: Final answer
    x = 1,145.17

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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.