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Finding the Fourth Proportional to 1,231.32, 1,698.80 and 700.15

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Solution

The fourth proportional to 1,231.32, 1,698.80 and 700.15 is: 965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.32 : 1,698.80 = 700.15 : x
  2. Step 2: Convert to fraction form
    1,231.32/1,698.80 = 700.15/x
  3. Step 3: Cross multiply
    1,231.32x = 1,698.80 × 700.15
  4. Step 4: Simplify right side
    1,231.32x = 1,189,414.82
  5. Step 5: Solve for x
    x = 1,189,414.82/1,231.32
  6. Step 6: Final answer
    x = 965.97

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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.