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Finding the Fourth Proportional to 712.57, 983.29 and 397.81

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Solution

The fourth proportional to 712.57, 983.29 and 397.81 is: 548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.57 : 983.29 = 397.81 : x
  2. Step 2: Convert to fraction form
    712.57/983.29 = 397.81/x
  3. Step 3: Cross multiply
    712.57x = 983.29 × 397.81
  4. Step 4: Simplify right side
    712.57x = 391,162.59
  5. Step 5: Solve for x
    x = 391,162.59/712.57
  6. Step 6: Final answer
    x = 548.95

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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.