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Finding the Fourth Proportional to 463.18, 693.99 and 325.98

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Solution

The fourth proportional to 463.18, 693.99 and 325.98 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.18 : 693.99 = 325.98 : x
  2. Step 2: Convert to fraction form
    463.18/693.99 = 325.98/x
  3. Step 3: Cross multiply
    463.18x = 693.99 × 325.98
  4. Step 4: Simplify right side
    463.18x = 226,226.86
  5. Step 5: Solve for x
    x = 226,226.86/463.18
  6. Step 6: Final answer
    x = 488.42

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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.