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Finding the Fourth Proportional to 456.32, 625.62 and 448.13

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Solution

The fourth proportional to 456.32, 625.62 and 448.13 is: 614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.32 : 625.62 = 448.13 : x
  2. Step 2: Convert to fraction form
    456.32/625.62 = 448.13/x
  3. Step 3: Cross multiply
    456.32x = 625.62 × 448.13
  4. Step 4: Simplify right side
    456.32x = 280,355.96
  5. Step 5: Solve for x
    x = 280,355.96/456.32
  6. Step 6: Final answer
    x = 614.39

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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.