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Finding the Fourth Proportional to 720.71, 994.67 and 406.09

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Solution

The fourth proportional to 720.71, 994.67 and 406.09 is: 560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.71 : 994.67 = 406.09 : x
  2. Step 2: Convert to fraction form
    720.71/994.67 = 406.09/x
  3. Step 3: Cross multiply
    720.71x = 994.67 × 406.09
  4. Step 4: Simplify right side
    720.71x = 403,925.54
  5. Step 5: Solve for x
    x = 403,925.54/720.71
  6. Step 6: Final answer
    x = 560.46

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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.