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Finding the Fourth Proportional to 713.85, 985.02 and 399.11

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Solution

The fourth proportional to 713.85, 985.02 and 399.11 is: 550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 985.02 = 399.11 : x
  2. Step 2: Convert to fraction form
    713.85/985.02 = 399.11/x
  3. Step 3: Cross multiply
    713.85x = 985.02 × 399.11
  4. Step 4: Simplify right side
    713.85x = 393,127.16
  5. Step 5: Solve for x
    x = 393,127.16/713.85
  6. Step 6: Final answer
    x = 550.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.