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Finding the Fourth Proportional to 578.42, 867.64 and 145.56

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Solution

The fourth proportional to 578.42, 867.64 and 145.56 is: 218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 867.64 = 145.56 : x
  2. Step 2: Convert to fraction form
    578.42/867.64 = 145.56/x
  3. Step 3: Cross multiply
    578.42x = 867.64 × 145.56
  4. Step 4: Simplify right side
    578.42x = 126,293.68
  5. Step 5: Solve for x
    x = 126,293.68/578.42
  6. Step 6: Final answer
    x = 218.34

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.