Home / 1,164.90-1,747.67-515.79

Finding the Fourth Proportional to 1,164.90, 1,747.67 and 515.79

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Solution

The fourth proportional to 1,164.90, 1,747.67 and 515.79 is: 773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.90 : 1,747.67 = 515.79 : x
  2. Step 2: Convert to fraction form
    1,164.90/1,747.67 = 515.79/x
  3. Step 3: Cross multiply
    1,164.90x = 1,747.67 × 515.79
  4. Step 4: Simplify right side
    1,164.90x = 901,419.39
  5. Step 5: Solve for x
    x = 901,419.39/1,164.90
  6. Step 6: Final answer
    x = 773.82

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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.