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Finding the Fourth Proportional to 772.61, 1,158.92 and 259.61

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Solution

The fourth proportional to 772.61, 1,158.92 and 259.61 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,158.92 = 259.61 : x
  2. Step 2: Convert to fraction form
    772.61/1,158.92 = 259.61/x
  3. Step 3: Cross multiply
    772.61x = 1,158.92 × 259.61
  4. Step 4: Simplify right side
    772.61x = 300,867.22
  5. Step 5: Solve for x
    x = 300,867.22/772.61
  6. Step 6: Final answer
    x = 389.42

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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.