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Finding the Fourth Proportional to 756.45, 1,133.09 and 345.94

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Solution

The fourth proportional to 756.45, 1,133.09 and 345.94 is: 518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.45 : 1,133.09 = 345.94 : x
  2. Step 2: Convert to fraction form
    756.45/1,133.09 = 345.94/x
  3. Step 3: Cross multiply
    756.45x = 1,133.09 × 345.94
  4. Step 4: Simplify right side
    756.45x = 391,976.34
  5. Step 5: Solve for x
    x = 391,976.34/756.45
  6. Step 6: Final answer
    x = 518.18

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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.