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Finding the Fourth Proportional to 1,617, 2,231.75 and 1,223.34

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Solution

The fourth proportional to 1,617, 2,231.75 and 1,223.34 is: 1,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617 : 2,231.75 = 1,223.34 : x
  2. Step 2: Convert to fraction form
    1,617/2,231.75 = 1,223.34/x
  3. Step 3: Cross multiply
    1,617x = 2,231.75 × 1,223.34
  4. Step 4: Simplify right side
    1,617x = 2,730,182.93
  5. Step 5: Solve for x
    x = 2,730,182.93/1,617
  6. Step 6: Final answer
    x = 1,688.42

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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.