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Finding the Fourth Proportional to 952.75, 1,428.54 and 623.29

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Solution

The fourth proportional to 952.75, 1,428.54 and 623.29 is: 934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.75 : 1,428.54 = 623.29 : x
  2. Step 2: Convert to fraction form
    952.75/1,428.54 = 623.29/x
  3. Step 3: Cross multiply
    952.75x = 1,428.54 × 623.29
  4. Step 4: Simplify right side
    952.75x = 890,384.44
  5. Step 5: Solve for x
    x = 890,384.44/952.75
  6. Step 6: Final answer
    x = 934.55

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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.