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Finding the Fourth Proportional to 773.37, 1,159.76 and 310.99

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Solution

The fourth proportional to 773.37, 1,159.76 and 310.99 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.37 : 1,159.76 = 310.99 : x
  2. Step 2: Convert to fraction form
    773.37/1,159.76 = 310.99/x
  3. Step 3: Cross multiply
    773.37x = 1,159.76 × 310.99
  4. Step 4: Simplify right side
    773.37x = 360,674.54
  5. Step 5: Solve for x
    x = 360,674.54/773.37
  6. Step 6: Final answer
    x = 466.37

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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.