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Finding the Fourth Proportional to 1,228.73, 1,695.65 and 731.38

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Solution

The fourth proportional to 1,228.73, 1,695.65 and 731.38 is: 1,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.73 : 1,695.65 = 731.38 : x
  2. Step 2: Convert to fraction form
    1,228.73/1,695.65 = 731.38/x
  3. Step 3: Cross multiply
    1,228.73x = 1,695.65 × 731.38
  4. Step 4: Simplify right side
    1,228.73x = 1,240,160.84
  5. Step 5: Solve for x
    x = 1,240,160.84/1,228.73
  6. Step 6: Final answer
    x = 1,009.31

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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.