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Finding the Fourth Proportional to 774.08, 1,161.57 and 287.47

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Solution

The fourth proportional to 774.08, 1,161.57 and 287.47 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.08 : 1,161.57 = 287.47 : x
  2. Step 2: Convert to fraction form
    774.08/1,161.57 = 287.47/x
  3. Step 3: Cross multiply
    774.08x = 1,161.57 × 287.47
  4. Step 4: Simplify right side
    774.08x = 333,916.53
  5. Step 5: Solve for x
    x = 333,916.53/774.08
  6. Step 6: Final answer
    x = 431.37

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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.