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Finding the Fourth Proportional to 755.87, 1,133.81 and 208.05

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Solution

The fourth proportional to 755.87, 1,133.81 and 208.05 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.87 : 1,133.81 = 208.05 : x
  2. Step 2: Convert to fraction form
    755.87/1,133.81 = 208.05/x
  3. Step 3: Cross multiply
    755.87x = 1,133.81 × 208.05
  4. Step 4: Simplify right side
    755.87x = 235,888.13
  5. Step 5: Solve for x
    x = 235,888.13/755.87
  6. Step 6: Final answer
    x = 312.08

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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.