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Finding the Fourth Proportional to 1,223.18, 1,834.77 and 859.59

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Solution

The fourth proportional to 1,223.18, 1,834.77 and 859.59 is: 1,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.18 : 1,834.77 = 859.59 : x
  2. Step 2: Convert to fraction form
    1,223.18/1,834.77 = 859.59/x
  3. Step 3: Cross multiply
    1,223.18x = 1,834.77 × 859.59
  4. Step 4: Simplify right side
    1,223.18x = 1,577,149.94
  5. Step 5: Solve for x
    x = 1,577,149.94/1,223.18
  6. Step 6: Final answer
    x = 1,289.39

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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.