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Finding the Fourth Proportional to 456.82, 626.30 and 448.62

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Solution

The fourth proportional to 456.82, 626.30 and 448.62 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.82 : 626.30 = 448.62 : x
  2. Step 2: Convert to fraction form
    456.82/626.30 = 448.62/x
  3. Step 3: Cross multiply
    456.82x = 626.30 × 448.62
  4. Step 4: Simplify right side
    456.82x = 280,970.71
  5. Step 5: Solve for x
    x = 280,970.71/456.82
  6. Step 6: Final answer
    x = 615.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.