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Finding the Fourth Proportional to 716.81, 989.16 and 406.31

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Solution

The fourth proportional to 716.81, 989.16 and 406.31 is: 560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.81 : 989.16 = 406.31 : x
  2. Step 2: Convert to fraction form
    716.81/989.16 = 406.31/x
  3. Step 3: Cross multiply
    716.81x = 989.16 × 406.31
  4. Step 4: Simplify right side
    716.81x = 401,900.65
  5. Step 5: Solve for x
    x = 401,900.65/716.81
  6. Step 6: Final answer
    x = 560.68

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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.