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Finding the Fourth Proportional to 757.00, 1,135.22 and 409.98

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Solution

The fourth proportional to 757.00, 1,135.22 and 409.98 is: 614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.00 : 1,135.22 = 409.98 : x
  2. Step 2: Convert to fraction form
    757.00/1,135.22 = 409.98/x
  3. Step 3: Cross multiply
    757.00x = 1,135.22 × 409.98
  4. Step 4: Simplify right side
    757.00x = 465,418.52
  5. Step 5: Solve for x
    x = 465,418.52/757.00
  6. Step 6: Final answer
    x = 614.82

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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.