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Finding the Fourth Proportional to 983.84, 1,469.59 and 965.61

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Solution

The fourth proportional to 983.84, 1,469.59 and 965.61 is: 1,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.84 : 1,469.59 = 965.61 : x
  2. Step 2: Convert to fraction form
    983.84/1,469.59 = 965.61/x
  3. Step 3: Cross multiply
    983.84x = 1,469.59 × 965.61
  4. Step 4: Simplify right side
    983.84x = 1,419,048.39
  5. Step 5: Solve for x
    x = 1,419,048.39/983.84
  6. Step 6: Final answer
    x = 1,442.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.