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Finding the Fourth Proportional to 1,253.03, 1,728.96 and 1,066.28

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Solution

The fourth proportional to 1,253.03, 1,728.96 and 1,066.28 is: 1,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.03 : 1,728.96 = 1,066.28 : x
  2. Step 2: Convert to fraction form
    1,253.03/1,728.96 = 1,066.28/x
  3. Step 3: Cross multiply
    1,253.03x = 1,728.96 × 1,066.28
  4. Step 4: Simplify right side
    1,253.03x = 1,843,555.47
  5. Step 5: Solve for x
    x = 1,843,555.47/1,253.03
  6. Step 6: Final answer
    x = 1,471.28

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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.