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Finding the Fourth Proportional to 522.18, 781.38 and 385.02

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Solution

The fourth proportional to 522.18, 781.38 and 385.02 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 781.38 = 385.02 : x
  2. Step 2: Convert to fraction form
    522.18/781.38 = 385.02/x
  3. Step 3: Cross multiply
    522.18x = 781.38 × 385.02
  4. Step 4: Simplify right side
    522.18x = 300,846.93
  5. Step 5: Solve for x
    x = 300,846.93/522.18
  6. Step 6: Final answer
    x = 576.14

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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.