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Finding the Fourth Proportional to 522.32, 782.82 and 233.14

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Solution

The fourth proportional to 522.32, 782.82 and 233.14 is: 349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 782.82 = 233.14 : x
  2. Step 2: Convert to fraction form
    522.32/782.82 = 233.14/x
  3. Step 3: Cross multiply
    522.32x = 782.82 × 233.14
  4. Step 4: Simplify right side
    522.32x = 182,506.65
  5. Step 5: Solve for x
    x = 182,506.65/522.32
  6. Step 6: Final answer
    x = 349.42

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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.