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Finding the Fourth Proportional to 1,283.64, 1,771.29 and 724.14

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Solution

The fourth proportional to 1,283.64, 1,771.29 and 724.14 is: 999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.64 : 1,771.29 = 724.14 : x
  2. Step 2: Convert to fraction form
    1,283.64/1,771.29 = 724.14/x
  3. Step 3: Cross multiply
    1,283.64x = 1,771.29 × 724.14
  4. Step 4: Simplify right side
    1,283.64x = 1,282,661.94
  5. Step 5: Solve for x
    x = 1,282,661.94/1,283.64
  6. Step 6: Final answer
    x = 999.24

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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.