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Finding the Fourth Proportional to 1,049.51, 1,448.31 and 577.42

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Solution

The fourth proportional to 1,049.51, 1,448.31 and 577.42 is: 796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.51 : 1,448.31 = 577.42 : x
  2. Step 2: Convert to fraction form
    1,049.51/1,448.31 = 577.42/x
  3. Step 3: Cross multiply
    1,049.51x = 1,448.31 × 577.42
  4. Step 4: Simplify right side
    1,049.51x = 836,283.16
  5. Step 5: Solve for x
    x = 836,283.16/1,049.51
  6. Step 6: Final answer
    x = 796.83

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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.