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Finding the Fourth Proportional to 522.91, 720.79 and 418.42

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Solution

The fourth proportional to 522.91, 720.79 and 418.42 is: 576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 720.79 = 418.42 : x
  2. Step 2: Convert to fraction form
    522.91/720.79 = 418.42/x
  3. Step 3: Cross multiply
    522.91x = 720.79 × 418.42
  4. Step 4: Simplify right side
    522.91x = 301,592.95
  5. Step 5: Solve for x
    x = 301,592.95/522.91
  6. Step 6: Final answer
    x = 576.76

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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.