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Finding the Fourth Proportional to 943.30, 1,299 and 680.86

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Solution

The fourth proportional to 943.30, 1,299 and 680.86 is: 937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.30 : 1,299 = 680.86 : x
  2. Step 2: Convert to fraction form
    943.30/1,299 = 680.86/x
  3. Step 3: Cross multiply
    943.30x = 1,299 × 680.86
  4. Step 4: Simplify right side
    943.30x = 884,437.14
  5. Step 5: Solve for x
    x = 884,437.14/943.30
  6. Step 6: Final answer
    x = 937.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.