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Finding the Fourth Proportional to 774.42, 1,069 and 512.80

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Solution

The fourth proportional to 774.42, 1,069 and 512.80 is: 707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,069 = 512.80 : x
  2. Step 2: Convert to fraction form
    774.42/1,069 = 512.80/x
  3. Step 3: Cross multiply
    774.42x = 1,069 × 512.80
  4. Step 4: Simplify right side
    774.42x = 548,183.20
  5. Step 5: Solve for x
    x = 548,183.20/774.42
  6. Step 6: Final answer
    x = 707.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.