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Finding the Fourth Proportional to 518.16, 776.96 and 257.59

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Solution

The fourth proportional to 518.16, 776.96 and 257.59 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 776.96 = 257.59 : x
  2. Step 2: Convert to fraction form
    518.16/776.96 = 257.59/x
  3. Step 3: Cross multiply
    518.16x = 776.96 × 257.59
  4. Step 4: Simplify right side
    518.16x = 200,137.13
  5. Step 5: Solve for x
    x = 200,137.13/518.16
  6. Step 6: Final answer
    x = 386.25

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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.