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Finding the Fourth Proportional to 908.99, 1,363.49 and 771.69

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Solution

The fourth proportional to 908.99, 1,363.49 and 771.69 is: 1,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.99 : 1,363.49 = 771.69 : x
  2. Step 2: Convert to fraction form
    908.99/1,363.49 = 771.69/x
  3. Step 3: Cross multiply
    908.99x = 1,363.49 × 771.69
  4. Step 4: Simplify right side
    908.99x = 1,052,187.74
  5. Step 5: Solve for x
    x = 1,052,187.74/908.99
  6. Step 6: Final answer
    x = 1,157.54

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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.