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Finding the Fourth Proportional to 849.87, 1,279.50 and 665.75

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Solution

The fourth proportional to 849.87, 1,279.50 and 665.75 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.87 : 1,279.50 = 665.75 : x
  2. Step 2: Convert to fraction form
    849.87/1,279.50 = 665.75/x
  3. Step 3: Cross multiply
    849.87x = 1,279.50 × 665.75
  4. Step 4: Simplify right side
    849.87x = 851,830.32
  5. Step 5: Solve for x
    x = 851,830.32/849.87
  6. Step 6: Final answer
    x = 1,002.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.