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Finding the Fourth Proportional to 456.18, 678.45 and 451.32

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Solution

The fourth proportional to 456.18, 678.45 and 451.32 is: 671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.18 : 678.45 = 451.32 : x
  2. Step 2: Convert to fraction form
    456.18/678.45 = 451.32/x
  3. Step 3: Cross multiply
    456.18x = 678.45 × 451.32
  4. Step 4: Simplify right side
    456.18x = 306,198.05
  5. Step 5: Solve for x
    x = 306,198.05/456.18
  6. Step 6: Final answer
    x = 671.22

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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.