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Finding the Fourth Proportional to 618.78, 926.90 and 522.30

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Solution

The fourth proportional to 618.78, 926.90 and 522.30 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 926.90 = 522.30 : x
  2. Step 2: Convert to fraction form
    618.78/926.90 = 522.30/x
  3. Step 3: Cross multiply
    618.78x = 926.90 × 522.30
  4. Step 4: Simplify right side
    618.78x = 484,119.87
  5. Step 5: Solve for x
    x = 484,119.87/618.78
  6. Step 6: Final answer
    x = 782.38

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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.