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Finding the Fourth Proportional to 1,228.25, 1,695.56 and 786.40

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Solution

The fourth proportional to 1,228.25, 1,695.56 and 786.40 is: 1,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.25 : 1,695.56 = 786.40 : x
  2. Step 2: Convert to fraction form
    1,228.25/1,695.56 = 786.40/x
  3. Step 3: Cross multiply
    1,228.25x = 1,695.56 × 786.40
  4. Step 4: Simplify right side
    1,228.25x = 1,333,390.66
  5. Step 5: Solve for x
    x = 1,333,390.66/1,228.25
  6. Step 6: Final answer
    x = 1,085.61

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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.