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Finding the Fourth Proportional to 519.12, 774.86 and 464.31

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Solution

The fourth proportional to 519.12, 774.86 and 464.31 is: 693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 774.86 = 464.31 : x
  2. Step 2: Convert to fraction form
    519.12/774.86 = 464.31/x
  3. Step 3: Cross multiply
    519.12x = 774.86 × 464.31
  4. Step 4: Simplify right side
    519.12x = 359,772.93
  5. Step 5: Solve for x
    x = 359,772.93/519.12
  6. Step 6: Final answer
    x = 693.04

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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.