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Finding the Fourth Proportional to 774.98, 1,161.99 and 485.78

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Solution

The fourth proportional to 774.98, 1,161.99 and 485.78 is: 728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,161.99 = 485.78 : x
  2. Step 2: Convert to fraction form
    774.98/1,161.99 = 485.78/x
  3. Step 3: Cross multiply
    774.98x = 1,161.99 × 485.78
  4. Step 4: Simplify right side
    774.98x = 564,471.50
  5. Step 5: Solve for x
    x = 564,471.50/774.98
  6. Step 6: Final answer
    x = 728.37

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.