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Finding the Fourth Proportional to 1,253.86, 1,728.09 and 1,020.58

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Solution

The fourth proportional to 1,253.86, 1,728.09 and 1,020.58 is: 1,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.86 : 1,728.09 = 1,020.58 : x
  2. Step 2: Convert to fraction form
    1,253.86/1,728.09 = 1,020.58/x
  3. Step 3: Cross multiply
    1,253.86x = 1,728.09 × 1,020.58
  4. Step 4: Simplify right side
    1,253.86x = 1,763,654.09
  5. Step 5: Solve for x
    x = 1,763,654.09/1,253.86
  6. Step 6: Final answer
    x = 1,406.58

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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.