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Finding the Fourth Proportional to 950.14, 1,423.74 and 640.78

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Solution

The fourth proportional to 950.14, 1,423.74 and 640.78 is: 960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.14 : 1,423.74 = 640.78 : x
  2. Step 2: Convert to fraction form
    950.14/1,423.74 = 640.78/x
  3. Step 3: Cross multiply
    950.14x = 1,423.74 × 640.78
  4. Step 4: Simplify right side
    950.14x = 912,304.12
  5. Step 5: Solve for x
    x = 912,304.12/950.14
  6. Step 6: Final answer
    x = 960.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.