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Finding the Fourth Proportional to 619.90, 927.15 and 522.70

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Solution

The fourth proportional to 619.90, 927.15 and 522.70 is: 781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.90 : 927.15 = 522.70 : x
  2. Step 2: Convert to fraction form
    619.90/927.15 = 522.70/x
  3. Step 3: Cross multiply
    619.90x = 927.15 × 522.70
  4. Step 4: Simplify right side
    619.90x = 484,621.31
  5. Step 5: Solve for x
    x = 484,621.31/619.90
  6. Step 6: Final answer
    x = 781.77

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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.