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Finding the Fourth Proportional to 773.46, 1,159.38 and 340.56

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Solution

The fourth proportional to 773.46, 1,159.38 and 340.56 is: 510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.46 : 1,159.38 = 340.56 : x
  2. Step 2: Convert to fraction form
    773.46/1,159.38 = 340.56/x
  3. Step 3: Cross multiply
    773.46x = 1,159.38 × 340.56
  4. Step 4: Simplify right side
    773.46x = 394,838.45
  5. Step 5: Solve for x
    x = 394,838.45/773.46
  6. Step 6: Final answer
    x = 510.48

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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.