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Finding the Fourth Proportional to 517.87, 776.81 and 355.06

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Solution

The fourth proportional to 517.87, 776.81 and 355.06 is: 532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.87 : 776.81 = 355.06 : x
  2. Step 2: Convert to fraction form
    517.87/776.81 = 355.06/x
  3. Step 3: Cross multiply
    517.87x = 776.81 × 355.06
  4. Step 4: Simplify right side
    517.87x = 275,814.02
  5. Step 5: Solve for x
    x = 275,814.02/517.87
  6. Step 6: Final answer
    x = 532.59

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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.