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Finding the Fourth Proportional to 716.48, 988.56 and 405.96

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Solution

The fourth proportional to 716.48, 988.56 and 405.96 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.48 : 988.56 = 405.96 : x
  2. Step 2: Convert to fraction form
    716.48/988.56 = 405.96/x
  3. Step 3: Cross multiply
    716.48x = 988.56 × 405.96
  4. Step 4: Simplify right side
    716.48x = 401,315.82
  5. Step 5: Solve for x
    x = 401,315.82/716.48
  6. Step 6: Final answer
    x = 560.12

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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.