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Finding the Fourth Proportional to 774.16, 1,161.09 and 287.21

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Solution

The fourth proportional to 774.16, 1,161.09 and 287.21 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,161.09 = 287.21 : x
  2. Step 2: Convert to fraction form
    774.16/1,161.09 = 287.21/x
  3. Step 3: Cross multiply
    774.16x = 1,161.09 × 287.21
  4. Step 4: Simplify right side
    774.16x = 333,479.56
  5. Step 5: Solve for x
    x = 333,479.56/774.16
  6. Step 6: Final answer
    x = 430.76

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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.