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Finding the Fourth Proportional to 522.99, 784.38 and 193.88

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Solution

The fourth proportional to 522.99, 784.38 and 193.88 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.99 : 784.38 = 193.88 : x
  2. Step 2: Convert to fraction form
    522.99/784.38 = 193.88/x
  3. Step 3: Cross multiply
    522.99x = 784.38 × 193.88
  4. Step 4: Simplify right side
    522.99x = 152,073.87
  5. Step 5: Solve for x
    x = 152,073.87/522.99
  6. Step 6: Final answer
    x = 290.78

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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.