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Finding the Fourth Proportional to 578.78, 798.02 and 412.92

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Solution

The fourth proportional to 578.78, 798.02 and 412.92 is: 569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 798.02 = 412.92 : x
  2. Step 2: Convert to fraction form
    578.78/798.02 = 412.92/x
  3. Step 3: Cross multiply
    578.78x = 798.02 × 412.92
  4. Step 4: Simplify right side
    578.78x = 329,516.35
  5. Step 5: Solve for x
    x = 329,516.35/578.78
  6. Step 6: Final answer
    x = 569.33

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.