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Finding the Fourth Proportional to 522.10, 779.09 and 476.12

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Solution

The fourth proportional to 522.10, 779.09 and 476.12 is: 710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.10 : 779.09 = 476.12 : x
  2. Step 2: Convert to fraction form
    522.10/779.09 = 476.12/x
  3. Step 3: Cross multiply
    522.10x = 779.09 × 476.12
  4. Step 4: Simplify right side
    522.10x = 370,940.33
  5. Step 5: Solve for x
    x = 370,940.33/522.10
  6. Step 6: Final answer
    x = 710.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.