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Finding the Fourth Proportional to 456.84, 686.07 and 327.65

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Solution

The fourth proportional to 456.84, 686.07 and 327.65 is: 492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 686.07 = 327.65 : x
  2. Step 2: Convert to fraction form
    456.84/686.07 = 327.65/x
  3. Step 3: Cross multiply
    456.84x = 686.07 × 327.65
  4. Step 4: Simplify right side
    456.84x = 224,787.41
  5. Step 5: Solve for x
    x = 224,787.41/456.84
  6. Step 6: Final answer
    x = 492.05

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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.