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Finding the Fourth Proportional to 720.85, 994.73 and 406.17

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Solution

The fourth proportional to 720.85, 994.73 and 406.17 is: 560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.85 : 994.73 = 406.17 : x
  2. Step 2: Convert to fraction form
    720.85/994.73 = 406.17/x
  3. Step 3: Cross multiply
    720.85x = 994.73 × 406.17
  4. Step 4: Simplify right side
    720.85x = 404,029.48
  5. Step 5: Solve for x
    x = 404,029.48/720.85
  6. Step 6: Final answer
    x = 560.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.