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Finding the Fourth Proportional to 518.90, 776.43 and 365.22

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Solution

The fourth proportional to 518.90, 776.43 and 365.22 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.90 : 776.43 = 365.22 : x
  2. Step 2: Convert to fraction form
    518.90/776.43 = 365.22/x
  3. Step 3: Cross multiply
    518.90x = 776.43 × 365.22
  4. Step 4: Simplify right side
    518.90x = 283,567.76
  5. Step 5: Solve for x
    x = 283,567.76/518.90
  6. Step 6: Final answer
    x = 546.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.