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Finding the Fourth Proportional to 773.45, 1,159.26 and 310.94

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Solution

The fourth proportional to 773.45, 1,159.26 and 310.94 is: 466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.45 : 1,159.26 = 310.94 : x
  2. Step 2: Convert to fraction form
    773.45/1,159.26 = 310.94/x
  3. Step 3: Cross multiply
    773.45x = 1,159.26 × 310.94
  4. Step 4: Simplify right side
    773.45x = 360,454.51
  5. Step 5: Solve for x
    x = 360,454.51/773.45
  6. Step 6: Final answer
    x = 466.04

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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.