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Finding the Fourth Proportional to 522.69, 782.16 and 491.55

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Solution

The fourth proportional to 522.69, 782.16 and 491.55 is: 735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.69 : 782.16 = 491.55 : x
  2. Step 2: Convert to fraction form
    522.69/782.16 = 491.55/x
  3. Step 3: Cross multiply
    522.69x = 782.16 × 491.55
  4. Step 4: Simplify right side
    522.69x = 384,470.75
  5. Step 5: Solve for x
    x = 384,470.75/522.69
  6. Step 6: Final answer
    x = 735.56

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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.