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Finding the Fourth Proportional to 515.87, 774.14 and 284.92

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Solution

The fourth proportional to 515.87, 774.14 and 284.92 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.87 : 774.14 = 284.92 : x
  2. Step 2: Convert to fraction form
    515.87/774.14 = 284.92/x
  3. Step 3: Cross multiply
    515.87x = 774.14 × 284.92
  4. Step 4: Simplify right side
    515.87x = 220,566.21
  5. Step 5: Solve for x
    x = 220,566.21/515.87
  6. Step 6: Final answer
    x = 427.56

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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.