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Finding the Fourth Proportional to 522.42, 782.72 and 385.80

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Solution

The fourth proportional to 522.42, 782.72 and 385.80 is: 578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 782.72 = 385.80 : x
  2. Step 2: Convert to fraction form
    522.42/782.72 = 385.80/x
  3. Step 3: Cross multiply
    522.42x = 782.72 × 385.80
  4. Step 4: Simplify right side
    522.42x = 301,973.38
  5. Step 5: Solve for x
    x = 301,973.38/522.42
  6. Step 6: Final answer
    x = 578.03

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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.