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Finding the Fourth Proportional to 712.55, 983.30 and 397.81

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Solution

The fourth proportional to 712.55, 983.30 and 397.81 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 983.30 = 397.81 : x
  2. Step 2: Convert to fraction form
    712.55/983.30 = 397.81/x
  3. Step 3: Cross multiply
    712.55x = 983.30 × 397.81
  4. Step 4: Simplify right side
    712.55x = 391,163.77
  5. Step 5: Solve for x
    x = 391,163.77/712.55
  6. Step 6: Final answer
    x = 548.96

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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.