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Finding the Fourth Proportional to 1,283.84, 1,771.39 and 724.31

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Solution

The fourth proportional to 1,283.84, 1,771.39 and 724.31 is: 999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.84 : 1,771.39 = 724.31 : x
  2. Step 2: Convert to fraction form
    1,283.84/1,771.39 = 724.31/x
  3. Step 3: Cross multiply
    1,283.84x = 1,771.39 × 724.31
  4. Step 4: Simplify right side
    1,283.84x = 1,283,035.49
  5. Step 5: Solve for x
    x = 1,283,035.49/1,283.84
  6. Step 6: Final answer
    x = 999.37

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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.