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Finding the Fourth Proportional to 716.25, 988.44 and 405.75

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Solution

The fourth proportional to 716.25, 988.44 and 405.75 is: 559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.25 : 988.44 = 405.75 : x
  2. Step 2: Convert to fraction form
    716.25/988.44 = 405.75/x
  3. Step 3: Cross multiply
    716.25x = 988.44 × 405.75
  4. Step 4: Simplify right side
    716.25x = 401,059.53
  5. Step 5: Solve for x
    x = 401,059.53/716.25
  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.