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Finding the Fourth Proportional to 774.20, 1,069.79 and 552.77

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Solution

The fourth proportional to 774.20, 1,069.79 and 552.77 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,069.79 = 552.77 : x
  2. Step 2: Convert to fraction form
    774.20/1,069.79 = 552.77/x
  3. Step 3: Cross multiply
    774.20x = 1,069.79 × 552.77
  4. Step 4: Simplify right side
    774.20x = 591,339.71
  5. Step 5: Solve for x
    x = 591,339.71/774.20
  6. Step 6: Final answer
    x = 763.81

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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.