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Finding the Fourth Proportional to 522.27, 784.43 and 503.82

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Solution

The fourth proportional to 522.27, 784.43 and 503.82 is: 756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 784.43 = 503.82 : x
  2. Step 2: Convert to fraction form
    522.27/784.43 = 503.82/x
  3. Step 3: Cross multiply
    522.27x = 784.43 × 503.82
  4. Step 4: Simplify right side
    522.27x = 395,209.00
  5. Step 5: Solve for x
    x = 395,209.00/522.27
  6. Step 6: Final answer
    x = 756.71

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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.