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Finding the Fourth Proportional to 1,253.57, 1,729.62 and 921.44

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Solution

The fourth proportional to 1,253.57, 1,729.62 and 921.44 is: 1,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.57 : 1,729.62 = 921.44 : x
  2. Step 2: Convert to fraction form
    1,253.57/1,729.62 = 921.44/x
  3. Step 3: Cross multiply
    1,253.57x = 1,729.62 × 921.44
  4. Step 4: Simplify right side
    1,253.57x = 1,593,741.05
  5. Step 5: Solve for x
    x = 1,593,741.05/1,253.57
  6. Step 6: Final answer
    x = 1,271.36

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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.