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Finding the Fourth Proportional to 578.26, 867.24 and 289.64

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Solution

The fourth proportional to 578.26, 867.24 and 289.64 is: 434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 867.24 = 289.64 : x
  2. Step 2: Convert to fraction form
    578.26/867.24 = 289.64/x
  3. Step 3: Cross multiply
    578.26x = 867.24 × 289.64
  4. Step 4: Simplify right side
    578.26x = 251,187.39
  5. Step 5: Solve for x
    x = 251,187.39/578.26
  6. Step 6: Final answer
    x = 434.38

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Double scale
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1.5x scale

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.