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Finding the Fourth Proportional to 465.38, 639.84 and 415.13

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Solution

The fourth proportional to 465.38, 639.84 and 415.13 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.38 : 639.84 = 415.13 : x
  2. Step 2: Convert to fraction form
    465.38/639.84 = 415.13/x
  3. Step 3: Cross multiply
    465.38x = 639.84 × 415.13
  4. Step 4: Simplify right side
    465.38x = 265,615.14
  5. Step 5: Solve for x
    x = 265,615.14/465.38
  6. Step 6: Final answer
    x = 570.75

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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.