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Finding the Fourth Proportional to 517.50, 776.23 and 257.40

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Solution

The fourth proportional to 517.50, 776.23 and 257.40 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 776.23 = 257.40 : x
  2. Step 2: Convert to fraction form
    517.50/776.23 = 257.40/x
  3. Step 3: Cross multiply
    517.50x = 776.23 × 257.40
  4. Step 4: Simplify right side
    517.50x = 199,800.96
  5. Step 5: Solve for x
    x = 199,800.96/517.50
  6. Step 6: Final answer
    x = 386.09

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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.