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Finding the Fourth Proportional to 773.05, 1,159.89 and 408.16

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Solution

The fourth proportional to 773.05, 1,159.89 and 408.16 is: 612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.05 : 1,159.89 = 408.16 : x
  2. Step 2: Convert to fraction form
    773.05/1,159.89 = 408.16/x
  3. Step 3: Cross multiply
    773.05x = 1,159.89 × 408.16
  4. Step 4: Simplify right side
    773.05x = 473,420.70
  5. Step 5: Solve for x
    x = 473,420.70/773.05
  6. Step 6: Final answer
    x = 612.41

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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.