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Finding the Fourth Proportional to 456.20, 680.45 and 442.53

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Solution

The fourth proportional to 456.20, 680.45 and 442.53 is: 660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.20 : 680.45 = 442.53 : x
  2. Step 2: Convert to fraction form
    456.20/680.45 = 442.53/x
  3. Step 3: Cross multiply
    456.20x = 680.45 × 442.53
  4. Step 4: Simplify right side
    456.20x = 301,120.64
  5. Step 5: Solve for x
    x = 301,120.64/456.20
  6. Step 6: Final answer
    x = 660.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.