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Finding the Fourth Proportional to 959.93, 1,440.21 and 699.47

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Solution

The fourth proportional to 959.93, 1,440.21 and 699.47 is: 1,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.93 : 1,440.21 = 699.47 : x
  2. Step 2: Convert to fraction form
    959.93/1,440.21 = 699.47/x
  3. Step 3: Cross multiply
    959.93x = 1,440.21 × 699.47
  4. Step 4: Simplify right side
    959.93x = 1,007,383.69
  5. Step 5: Solve for x
    x = 1,007,383.69/959.93
  6. Step 6: Final answer
    x = 1,049.43

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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.