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Finding the Fourth Proportional to 774.59, 1,069.22 and 512.69

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Solution

The fourth proportional to 774.59, 1,069.22 and 512.69 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.59 : 1,069.22 = 512.69 : x
  2. Step 2: Convert to fraction form
    774.59/1,069.22 = 512.69/x
  3. Step 3: Cross multiply
    774.59x = 1,069.22 × 512.69
  4. Step 4: Simplify right side
    774.59x = 548,175.84
  5. Step 5: Solve for x
    x = 548,175.84/774.59
  6. Step 6: Final answer
    x = 707.70

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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.