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Finding the Fourth Proportional to 716.46, 988.74 and 405.96

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Solution

The fourth proportional to 716.46, 988.74 and 405.96 is: 560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.46 : 988.74 = 405.96 : x
  2. Step 2: Convert to fraction form
    716.46/988.74 = 405.96/x
  3. Step 3: Cross multiply
    716.46x = 988.74 × 405.96
  4. Step 4: Simplify right side
    716.46x = 401,388.89
  5. Step 5: Solve for x
    x = 401,388.89/716.46
  6. Step 6: Final answer
    x = 560.24

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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.