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Finding the Fourth Proportional to 756.78, 1,135 and 208.90

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Solution

The fourth proportional to 756.78, 1,135 and 208.90 is: 313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.78 : 1,135 = 208.90 : x
  2. Step 2: Convert to fraction form
    756.78/1,135 = 208.90/x
  3. Step 3: Cross multiply
    756.78x = 1,135 × 208.90
  4. Step 4: Simplify right side
    756.78x = 237,101.50
  5. Step 5: Solve for x
    x = 237,101.50/756.78
  6. Step 6: Final answer
    x = 313.30

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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.