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Finding the Fourth Proportional to 1,164.66, 1,747.41 and 515.85

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Solution

The fourth proportional to 1,164.66, 1,747.41 and 515.85 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.66 : 1,747.41 = 515.85 : x
  2. Step 2: Convert to fraction form
    1,164.66/1,747.41 = 515.85/x
  3. Step 3: Cross multiply
    1,164.66x = 1,747.41 × 515.85
  4. Step 4: Simplify right side
    1,164.66x = 901,401.45
  5. Step 5: Solve for x
    x = 901,401.45/1,164.66
  6. Step 6: Final answer
    x = 773.96

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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.