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Finding the Fourth Proportional to 774.78, 1,162.48 and 288.24

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Solution

The fourth proportional to 774.78, 1,162.48 and 288.24 is: 432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.78 : 1,162.48 = 288.24 : x
  2. Step 2: Convert to fraction form
    774.78/1,162.48 = 288.24/x
  3. Step 3: Cross multiply
    774.78x = 1,162.48 × 288.24
  4. Step 4: Simplify right side
    774.78x = 335,073.24
  5. Step 5: Solve for x
    x = 335,073.24/774.78
  6. Step 6: Final answer
    x = 432.48

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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.