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Finding the Fourth Proportional to 463.35, 693.39 and 319.17

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Solution

The fourth proportional to 463.35, 693.39 and 319.17 is: 477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.35 : 693.39 = 319.17 : x
  2. Step 2: Convert to fraction form
    463.35/693.39 = 319.17/x
  3. Step 3: Cross multiply
    463.35x = 693.39 × 319.17
  4. Step 4: Simplify right side
    463.35x = 221,309.29
  5. Step 5: Solve for x
    x = 221,309.29/463.35
  6. Step 6: Final answer
    x = 477.63

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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.