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Finding the Fourth Proportional to 911.93, 1,259.42 and 699.84

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Solution

The fourth proportional to 911.93, 1,259.42 and 699.84 is: 966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.93 : 1,259.42 = 699.84 : x
  2. Step 2: Convert to fraction form
    911.93/1,259.42 = 699.84/x
  3. Step 3: Cross multiply
    911.93x = 1,259.42 × 699.84
  4. Step 4: Simplify right side
    911.93x = 881,388.99
  5. Step 5: Solve for x
    x = 881,388.99/911.93
  6. Step 6: Final answer
    x = 966.51

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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.