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Finding the Fourth Proportional to 1,228.74, 1,695.47 and 731.31

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Solution

The fourth proportional to 1,228.74, 1,695.47 and 731.31 is: 1,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.74 : 1,695.47 = 731.31 : x
  2. Step 2: Convert to fraction form
    1,228.74/1,695.47 = 731.31/x
  3. Step 3: Cross multiply
    1,228.74x = 1,695.47 × 731.31
  4. Step 4: Simplify right side
    1,228.74x = 1,239,910.51
  5. Step 5: Solve for x
    x = 1,239,910.51/1,228.74
  6. Step 6: Final answer
    x = 1,009.09

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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.