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Finding the Fourth Proportional to 519.75, 775.62 and 464.32

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Solution

The fourth proportional to 519.75, 775.62 and 464.32 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 775.62 = 464.32 : x
  2. Step 2: Convert to fraction form
    519.75/775.62 = 464.32/x
  3. Step 3: Cross multiply
    519.75x = 775.62 × 464.32
  4. Step 4: Simplify right side
    519.75x = 360,135.88
  5. Step 5: Solve for x
    x = 360,135.88/519.75
  6. Step 6: Final answer
    x = 692.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.