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Finding the Fourth Proportional to 756.45, 1,134.32 and 345.78

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Solution

The fourth proportional to 756.45, 1,134.32 and 345.78 is: 518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.45 : 1,134.32 = 345.78 : x
  2. Step 2: Convert to fraction form
    756.45/1,134.32 = 345.78/x
  3. Step 3: Cross multiply
    756.45x = 1,134.32 × 345.78
  4. Step 4: Simplify right side
    756.45x = 392,223.44
  5. Step 5: Solve for x
    x = 392,223.44/756.45
  6. Step 6: Final answer
    x = 518.51

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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.