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Finding the Fourth Proportional to 720.93, 994.89 and 406.18

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Solution

The fourth proportional to 720.93, 994.89 and 406.18 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.93 : 994.89 = 406.18 : x
  2. Step 2: Convert to fraction form
    720.93/994.89 = 406.18/x
  3. Step 3: Cross multiply
    720.93x = 994.89 × 406.18
  4. Step 4: Simplify right side
    720.93x = 404,104.42
  5. Step 5: Solve for x
    x = 404,104.42/720.93
  6. Step 6: Final answer
    x = 560.53

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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.