Home / 1,164.60-1,747.26-548.28

Finding the Fourth Proportional to 1,164.60, 1,747.26 and 548.28

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Solution

The fourth proportional to 1,164.60, 1,747.26 and 548.28 is: 822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.60 : 1,747.26 = 548.28 : x
  2. Step 2: Convert to fraction form
    1,164.60/1,747.26 = 548.28/x
  3. Step 3: Cross multiply
    1,164.60x = 1,747.26 × 548.28
  4. Step 4: Simplify right side
    1,164.60x = 957,987.71
  5. Step 5: Solve for x
    x = 957,987.71/1,164.60
  6. Step 6: Final answer
    x = 822.59

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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.