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Finding the Fourth Proportional to 578.36, 863.92 and 414.74

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Solution

The fourth proportional to 578.36, 863.92 and 414.74 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 863.92 = 414.74 : x
  2. Step 2: Convert to fraction form
    578.36/863.92 = 414.74/x
  3. Step 3: Cross multiply
    578.36x = 863.92 × 414.74
  4. Step 4: Simplify right side
    578.36x = 358,302.18
  5. Step 5: Solve for x
    x = 358,302.18/578.36
  6. Step 6: Final answer
    x = 619.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.