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Finding the Fourth Proportional to 518.70, 776.80 and 335.57

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Solution

The fourth proportional to 518.70, 776.80 and 335.57 is: 502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.70 : 776.80 = 335.57 : x
  2. Step 2: Convert to fraction form
    518.70/776.80 = 335.57/x
  3. Step 3: Cross multiply
    518.70x = 776.80 × 335.57
  4. Step 4: Simplify right side
    518.70x = 260,669.10
  5. Step 5: Solve for x
    x = 260,669.10/518.70
  6. Step 6: Final answer
    x = 502.54

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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.