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Finding the Fourth Proportional to 859.53, 1,289.15 and 243.09

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Solution

The fourth proportional to 859.53, 1,289.15 and 243.09 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.53 : 1,289.15 = 243.09 : x
  2. Step 2: Convert to fraction form
    859.53/1,289.15 = 243.09/x
  3. Step 3: Cross multiply
    859.53x = 1,289.15 × 243.09
  4. Step 4: Simplify right side
    859.53x = 313,379.47
  5. Step 5: Solve for x
    x = 313,379.47/859.53
  6. Step 6: Final answer
    x = 364.59

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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.