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Finding the Fourth Proportional to 456.54, 680.88 and 450.36

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Solution

The fourth proportional to 456.54, 680.88 and 450.36 is: 671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.54 : 680.88 = 450.36 : x
  2. Step 2: Convert to fraction form
    456.54/680.88 = 450.36/x
  3. Step 3: Cross multiply
    456.54x = 680.88 × 450.36
  4. Step 4: Simplify right side
    456.54x = 306,641.12
  5. Step 5: Solve for x
    x = 306,641.12/456.54
  6. Step 6: Final answer
    x = 671.66

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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.