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Finding the Fourth Proportional to 1,242.09, 1,716.03 and 1,057.68

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Solution

The fourth proportional to 1,242.09, 1,716.03 and 1,057.68 is: 1,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.09 : 1,716.03 = 1,057.68 : x
  2. Step 2: Convert to fraction form
    1,242.09/1,716.03 = 1,057.68/x
  3. Step 3: Cross multiply
    1,242.09x = 1,716.03 × 1,057.68
  4. Step 4: Simplify right side
    1,242.09x = 1,815,010.61
  5. Step 5: Solve for x
    x = 1,815,010.61/1,242.09
  6. Step 6: Final answer
    x = 1,461.26

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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.