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Finding the Fourth Proportional to 465.24, 638.52 and 421.32

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Solution

The fourth proportional to 465.24, 638.52 and 421.32 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 638.52 = 421.32 : x
  2. Step 2: Convert to fraction form
    465.24/638.52 = 421.32/x
  3. Step 3: Cross multiply
    465.24x = 638.52 × 421.32
  4. Step 4: Simplify right side
    465.24x = 269,021.25
  5. Step 5: Solve for x
    x = 269,021.25/465.24
  6. Step 6: Final answer
    x = 578.24

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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.