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Finding the Fourth Proportional to 1,228.50, 1,695.77 and 731.14

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Solution

The fourth proportional to 1,228.50, 1,695.77 and 731.14 is: 1,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.50 : 1,695.77 = 731.14 : x
  2. Step 2: Convert to fraction form
    1,228.50/1,695.77 = 731.14/x
  3. Step 3: Cross multiply
    1,228.50x = 1,695.77 × 731.14
  4. Step 4: Simplify right side
    1,228.50x = 1,239,845.28
  5. Step 5: Solve for x
    x = 1,239,845.28/1,228.50
  6. Step 6: Final answer
    x = 1,009.24

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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.