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Finding the Fourth Proportional to 465.64, 638.81 and 436.20

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Solution

The fourth proportional to 465.64, 638.81 and 436.20 is: 598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.64 : 638.81 = 436.20 : x
  2. Step 2: Convert to fraction form
    465.64/638.81 = 436.20/x
  3. Step 3: Cross multiply
    465.64x = 638.81 × 436.20
  4. Step 4: Simplify right side
    465.64x = 278,648.92
  5. Step 5: Solve for x
    x = 278,648.92/465.64
  6. Step 6: Final answer
    x = 598.42

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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.