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Finding the Fourth Proportional to 716.72, 989.13 and 401.99

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Solution

The fourth proportional to 716.72, 989.13 and 401.99 is: 554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.72 : 989.13 = 401.99 : x
  2. Step 2: Convert to fraction form
    716.72/989.13 = 401.99/x
  3. Step 3: Cross multiply
    716.72x = 989.13 × 401.99
  4. Step 4: Simplify right side
    716.72x = 397,615.42
  5. Step 5: Solve for x
    x = 397,615.42/716.72
  6. Step 6: Final answer
    x = 554.77

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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.