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Finding the Fourth Proportional to 774.75, 1,069.38 and 479.87

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Solution

The fourth proportional to 774.75, 1,069.38 and 479.87 is: 662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.75 : 1,069.38 = 479.87 : x
  2. Step 2: Convert to fraction form
    774.75/1,069.38 = 479.87/x
  3. Step 3: Cross multiply
    774.75x = 1,069.38 × 479.87
  4. Step 4: Simplify right side
    774.75x = 513,166.05
  5. Step 5: Solve for x
    x = 513,166.05/774.75
  6. Step 6: Final answer
    x = 662.36

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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.