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Finding the Fourth Proportional to 518.56, 774.08 and 473.20

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Solution

The fourth proportional to 518.56, 774.08 and 473.20 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.56 : 774.08 = 473.20 : x
  2. Step 2: Convert to fraction form
    518.56/774.08 = 473.20/x
  3. Step 3: Cross multiply
    518.56x = 774.08 × 473.20
  4. Step 4: Simplify right side
    518.56x = 366,294.66
  5. Step 5: Solve for x
    x = 366,294.66/518.56
  6. Step 6: Final answer
    x = 706.37

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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.