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Finding the Fourth Proportional to 1,097.85, 1,512.47 and 765.69

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Solution

The fourth proportional to 1,097.85, 1,512.47 and 765.69 is: 1,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.85 : 1,512.47 = 765.69 : x
  2. Step 2: Convert to fraction form
    1,097.85/1,512.47 = 765.69/x
  3. Step 3: Cross multiply
    1,097.85x = 1,512.47 × 765.69
  4. Step 4: Simplify right side
    1,097.85x = 1,158,079.40
  5. Step 5: Solve for x
    x = 1,158,079.40/1,097.85
  6. Step 6: Final answer
    x = 1,054.86

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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.