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Finding the Fourth Proportional to 1,283.53, 1,771.43 and 724.03

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Solution

The fourth proportional to 1,283.53, 1,771.43 and 724.03 is: 999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.53 : 1,771.43 = 724.03 : x
  2. Step 2: Convert to fraction form
    1,283.53/1,771.43 = 724.03/x
  3. Step 3: Cross multiply
    1,283.53x = 1,771.43 × 724.03
  4. Step 4: Simplify right side
    1,283.53x = 1,282,568.46
  5. Step 5: Solve for x
    x = 1,282,568.46/1,283.53
  6. Step 6: Final answer
    x = 999.25

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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.