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Finding the Fourth Proportional to 712.15, 982.93 and 397.53

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Solution

The fourth proportional to 712.15, 982.93 and 397.53 is: 548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 982.93 = 397.53 : x
  2. Step 2: Convert to fraction form
    712.15/982.93 = 397.53/x
  3. Step 3: Cross multiply
    712.15x = 982.93 × 397.53
  4. Step 4: Simplify right side
    712.15x = 390,737.26
  5. Step 5: Solve for x
    x = 390,737.26/712.15
  6. Step 6: Final answer
    x = 548.67

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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.