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Finding the Fourth Proportional to 952.87, 1,429.31 and 628.16

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Solution

The fourth proportional to 952.87, 1,429.31 and 628.16 is: 942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.87 : 1,429.31 = 628.16 : x
  2. Step 2: Convert to fraction form
    952.87/1,429.31 = 628.16/x
  3. Step 3: Cross multiply
    952.87x = 1,429.31 × 628.16
  4. Step 4: Simplify right side
    952.87x = 897,836.98
  5. Step 5: Solve for x
    x = 897,836.98/952.87
  6. Step 6: Final answer
    x = 942.24

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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.