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Finding the Fourth Proportional to 578.08, 865.64 and 405.28

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Solution

The fourth proportional to 578.08, 865.64 and 405.28 is: 606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 865.64 = 405.28 : x
  2. Step 2: Convert to fraction form
    578.08/865.64 = 405.28/x
  3. Step 3: Cross multiply
    578.08x = 865.64 × 405.28
  4. Step 4: Simplify right side
    578.08x = 350,826.58
  5. Step 5: Solve for x
    x = 350,826.58/578.08
  6. Step 6: Final answer
    x = 606.88

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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.