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Finding the Fourth Proportional to 518.10, 773.13 and 472.11

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Solution

The fourth proportional to 518.10, 773.13 and 472.11 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.10 : 773.13 = 472.11 : x
  2. Step 2: Convert to fraction form
    518.10/773.13 = 472.11/x
  3. Step 3: Cross multiply
    518.10x = 773.13 × 472.11
  4. Step 4: Simplify right side
    518.10x = 365,002.40
  5. Step 5: Solve for x
    x = 365,002.40/518.10
  6. Step 6: Final answer
    x = 704.50

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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.