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Finding the Fourth Proportional to 851.25, 1,274.10 and 644.43

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Solution

The fourth proportional to 851.25, 1,274.10 and 644.43 is: 964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.25 : 1,274.10 = 644.43 : x
  2. Step 2: Convert to fraction form
    851.25/1,274.10 = 644.43/x
  3. Step 3: Cross multiply
    851.25x = 1,274.10 × 644.43
  4. Step 4: Simplify right side
    851.25x = 821,068.26
  5. Step 5: Solve for x
    x = 821,068.26/851.25
  6. Step 6: Final answer
    x = 964.54

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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.