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Finding the Fourth Proportional to 1,102.50, 1,653.75 and 859.21

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Solution

The fourth proportional to 1,102.50, 1,653.75 and 859.21 is: 1,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.50 : 1,653.75 = 859.21 : x
  2. Step 2: Convert to fraction form
    1,102.50/1,653.75 = 859.21/x
  3. Step 3: Cross multiply
    1,102.50x = 1,653.75 × 859.21
  4. Step 4: Simplify right side
    1,102.50x = 1,420,905.97
  5. Step 5: Solve for x
    x = 1,420,905.97/1,102.50
  6. Step 6: Final answer
    x = 1,288.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.