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Finding the Fourth Proportional to 1,231.65, 1,698.17 and 1,056.69

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Solution

The fourth proportional to 1,231.65, 1,698.17 and 1,056.69 is: 1,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.65 : 1,698.17 = 1,056.69 : x
  2. Step 2: Convert to fraction form
    1,231.65/1,698.17 = 1,056.69/x
  3. Step 3: Cross multiply
    1,231.65x = 1,698.17 × 1,056.69
  4. Step 4: Simplify right side
    1,231.65x = 1,794,433.97
  5. Step 5: Solve for x
    x = 1,794,433.97/1,231.65
  6. Step 6: Final answer
    x = 1,456.93

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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.