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Finding the Fourth Proportional to 463.59, 693.97 and 397.98

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Solution

The fourth proportional to 463.59, 693.97 and 397.98 is: 595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.59 : 693.97 = 397.98 : x
  2. Step 2: Convert to fraction form
    463.59/693.97 = 397.98/x
  3. Step 3: Cross multiply
    463.59x = 693.97 × 397.98
  4. Step 4: Simplify right side
    463.59x = 276,185.19
  5. Step 5: Solve for x
    x = 276,185.19/463.59
  6. Step 6: Final answer
    x = 595.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.