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Finding the Fourth Proportional to 519.12, 774.05 and 461.88

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Solution

The fourth proportional to 519.12, 774.05 and 461.88 is: 688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 774.05 = 461.88 : x
  2. Step 2: Convert to fraction form
    519.12/774.05 = 461.88/x
  3. Step 3: Cross multiply
    519.12x = 774.05 × 461.88
  4. Step 4: Simplify right side
    519.12x = 357,515.90
  5. Step 5: Solve for x
    x = 357,515.90/519.12
  6. Step 6: Final answer
    x = 688.70

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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.