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Finding the Fourth Proportional to 775.09, 1,161.82 and 287.47

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Solution

The fourth proportional to 775.09, 1,161.82 and 287.47 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.09 : 1,161.82 = 287.47 : x
  2. Step 2: Convert to fraction form
    775.09/1,161.82 = 287.47/x
  3. Step 3: Cross multiply
    775.09x = 1,161.82 × 287.47
  4. Step 4: Simplify right side
    775.09x = 333,988.40
  5. Step 5: Solve for x
    x = 333,988.40/775.09
  6. Step 6: Final answer
    x = 430.90

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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.