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Finding the Fourth Proportional to 952.89, 1,426.70 and 644.13

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Solution

The fourth proportional to 952.89, 1,426.70 and 644.13 is: 964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.89 : 1,426.70 = 644.13 : x
  2. Step 2: Convert to fraction form
    952.89/1,426.70 = 644.13/x
  3. Step 3: Cross multiply
    952.89x = 1,426.70 × 644.13
  4. Step 4: Simplify right side
    952.89x = 918,977.05
  5. Step 5: Solve for x
    x = 918,977.05/952.89
  6. Step 6: Final answer
    x = 964.41

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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.