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Finding the Fourth Proportional to 716.26, 988.42 and 405.76

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Solution

The fourth proportional to 716.26, 988.42 and 405.76 is: 559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.26 : 988.42 = 405.76 : x
  2. Step 2: Convert to fraction form
    716.26/988.42 = 405.76/x
  3. Step 3: Cross multiply
    716.26x = 988.42 × 405.76
  4. Step 4: Simplify right side
    716.26x = 401,061.30
  5. Step 5: Solve for x
    x = 401,061.30/716.26
  6. Step 6: Final answer
    x = 559.94

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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.