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Finding the Fourth Proportional to 776.52, 1,162.32 and 410.80

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Solution

The fourth proportional to 776.52, 1,162.32 and 410.80 is: 614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.52 : 1,162.32 = 410.80 : x
  2. Step 2: Convert to fraction form
    776.52/1,162.32 = 410.80/x
  3. Step 3: Cross multiply
    776.52x = 1,162.32 × 410.80
  4. Step 4: Simplify right side
    776.52x = 477,481.06
  5. Step 5: Solve for x
    x = 477,481.06/776.52
  6. Step 6: Final answer
    x = 614.90

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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.