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Finding the Fourth Proportional to 691.87, 954.86 and 397.23

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Solution

The fourth proportional to 691.87, 954.86 and 397.23 is: 548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.87 : 954.86 = 397.23 : x
  2. Step 2: Convert to fraction form
    691.87/954.86 = 397.23/x
  3. Step 3: Cross multiply
    691.87x = 954.86 × 397.23
  4. Step 4: Simplify right side
    691.87x = 379,299.04
  5. Step 5: Solve for x
    x = 379,299.04/691.87
  6. Step 6: Final answer
    x = 548.22

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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.