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Finding the Fourth Proportional to 774.39, 1,069.11 and 512.85

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Solution

The fourth proportional to 774.39, 1,069.11 and 512.85 is: 708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.39 : 1,069.11 = 512.85 : x
  2. Step 2: Convert to fraction form
    774.39/1,069.11 = 512.85/x
  3. Step 3: Cross multiply
    774.39x = 1,069.11 × 512.85
  4. Step 4: Simplify right side
    774.39x = 548,293.06
  5. Step 5: Solve for x
    x = 548,293.06/774.39
  6. Step 6: Final answer
    x = 708.03

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Double scale
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1.5x scale

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.