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Finding the Fourth Proportional to 716.32, 988.50 and 401.56

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Solution

The fourth proportional to 716.32, 988.50 and 401.56 is: 554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.32 : 988.50 = 401.56 : x
  2. Step 2: Convert to fraction form
    716.32/988.50 = 401.56/x
  3. Step 3: Cross multiply
    716.32x = 988.50 × 401.56
  4. Step 4: Simplify right side
    716.32x = 396,942.06
  5. Step 5: Solve for x
    x = 396,942.06/716.32
  6. Step 6: Final answer
    x = 554.14

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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.