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Finding the Fourth Proportional to 522.20, 779.43 and 460.71

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Solution

The fourth proportional to 522.20, 779.43 and 460.71 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.20 : 779.43 = 460.71 : x
  2. Step 2: Convert to fraction form
    522.20/779.43 = 460.71/x
  3. Step 3: Cross multiply
    522.20x = 779.43 × 460.71
  4. Step 4: Simplify right side
    522.20x = 359,091.20
  5. Step 5: Solve for x
    x = 359,091.20/522.20
  6. Step 6: Final answer
    x = 687.66

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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.