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Finding the Fourth Proportional to 756.06, 1,135.81 and 537.22

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Solution

The fourth proportional to 756.06, 1,135.81 and 537.22 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.06 : 1,135.81 = 537.22 : x
  2. Step 2: Convert to fraction form
    756.06/1,135.81 = 537.22/x
  3. Step 3: Cross multiply
    756.06x = 1,135.81 × 537.22
  4. Step 4: Simplify right side
    756.06x = 610,179.85
  5. Step 5: Solve for x
    x = 610,179.85/756.06
  6. Step 6: Final answer
    x = 807.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.