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Finding the Fourth Proportional to 518.20, 772.54 and 477.09

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Solution

The fourth proportional to 518.20, 772.54 and 477.09 is: 711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.20 : 772.54 = 477.09 : x
  2. Step 2: Convert to fraction form
    518.20/772.54 = 477.09/x
  3. Step 3: Cross multiply
    518.20x = 772.54 × 477.09
  4. Step 4: Simplify right side
    518.20x = 368,569.92
  5. Step 5: Solve for x
    x = 368,569.92/518.20
  6. Step 6: Final answer
    x = 711.25

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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.