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Finding the Fourth Proportional to 515.58, 774.26 and 284.94

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Solution

The fourth proportional to 515.58, 774.26 and 284.94 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.58 : 774.26 = 284.94 : x
  2. Step 2: Convert to fraction form
    515.58/774.26 = 284.94/x
  3. Step 3: Cross multiply
    515.58x = 774.26 × 284.94
  4. Step 4: Simplify right side
    515.58x = 220,616.22
  5. Step 5: Solve for x
    x = 220,616.22/515.58
  6. Step 6: Final answer
    x = 427.90

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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.