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Finding the Fourth Proportional to 922.62, 1,384.59 and 512.09

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Solution

The fourth proportional to 922.62, 1,384.59 and 512.09 is: 768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.62 : 1,384.59 = 512.09 : x
  2. Step 2: Convert to fraction form
    922.62/1,384.59 = 512.09/x
  3. Step 3: Cross multiply
    922.62x = 1,384.59 × 512.09
  4. Step 4: Simplify right side
    922.62x = 709,034.88
  5. Step 5: Solve for x
    x = 709,034.88/922.62
  6. Step 6: Final answer
    x = 768.50

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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.