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Finding the Fourth Proportional to 522.36, 779.31 and 475.20

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Solution

The fourth proportional to 522.36, 779.31 and 475.20 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 779.31 = 475.20 : x
  2. Step 2: Convert to fraction form
    522.36/779.31 = 475.20/x
  3. Step 3: Cross multiply
    522.36x = 779.31 × 475.20
  4. Step 4: Simplify right side
    522.36x = 370,328.11
  5. Step 5: Solve for x
    x = 370,328.11/522.36
  6. Step 6: Final answer
    x = 708.95

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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.