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Finding the Fourth Proportional to 452.62, 678.23 and 322.85

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Solution

The fourth proportional to 452.62, 678.23 and 322.85 is: 483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.62 : 678.23 = 322.85 : x
  2. Step 2: Convert to fraction form
    452.62/678.23 = 322.85/x
  3. Step 3: Cross multiply
    452.62x = 678.23 × 322.85
  4. Step 4: Simplify right side
    452.62x = 218,963.16
  5. Step 5: Solve for x
    x = 218,963.16/452.62
  6. Step 6: Final answer
    x = 483.77

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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.