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Finding the Fourth Proportional to 456.50, 687.15 and 320.49

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Solution

The fourth proportional to 456.50, 687.15 and 320.49 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.50 : 687.15 = 320.49 : x
  2. Step 2: Convert to fraction form
    456.50/687.15 = 320.49/x
  3. Step 3: Cross multiply
    456.50x = 687.15 × 320.49
  4. Step 4: Simplify right side
    456.50x = 220,224.70
  5. Step 5: Solve for x
    x = 220,224.70/456.50
  6. Step 6: Final answer
    x = 482.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.