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Finding the Fourth Proportional to 757.05, 1,133.14 and 537.13

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Solution

The fourth proportional to 757.05, 1,133.14 and 537.13 is: 803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.05 : 1,133.14 = 537.13 : x
  2. Step 2: Convert to fraction form
    757.05/1,133.14 = 537.13/x
  3. Step 3: Cross multiply
    757.05x = 1,133.14 × 537.13
  4. Step 4: Simplify right side
    757.05x = 608,644.57
  5. Step 5: Solve for x
    x = 608,644.57/757.05
  6. Step 6: Final answer
    x = 803.97

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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.