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Finding the Fourth Proportional to 522.11, 782.04 and 491.44

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Solution

The fourth proportional to 522.11, 782.04 and 491.44 is: 736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.11 : 782.04 = 491.44 : x
  2. Step 2: Convert to fraction form
    522.11/782.04 = 491.44/x
  3. Step 3: Cross multiply
    522.11x = 782.04 × 491.44
  4. Step 4: Simplify right side
    522.11x = 384,327.69
  5. Step 5: Solve for x
    x = 384,327.69/522.11
  6. Step 6: Final answer
    x = 736.10

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1.5x scale

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.