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Finding the Fourth Proportional to 778.48, 1,166.34 and 412.45

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Solution

The fourth proportional to 778.48, 1,166.34 and 412.45 is: 617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.48 : 1,166.34 = 412.45 : x
  2. Step 2: Convert to fraction form
    778.48/1,166.34 = 412.45/x
  3. Step 3: Cross multiply
    778.48x = 1,166.34 × 412.45
  4. Step 4: Simplify right side
    778.48x = 481,056.93
  5. Step 5: Solve for x
    x = 481,056.93/778.48
  6. Step 6: Final answer
    x = 617.94

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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.