Home / 1,164.60-1,597.28-1,105.22

Finding the Fourth Proportional to 1,164.60, 1,597.28 and 1,105.22

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Solution

The fourth proportional to 1,164.60, 1,597.28 and 1,105.22 is: 1,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.60 : 1,597.28 = 1,105.22 : x
  2. Step 2: Convert to fraction form
    1,164.60/1,597.28 = 1,105.22/x
  3. Step 3: Cross multiply
    1,164.60x = 1,597.28 × 1,105.22
  4. Step 4: Simplify right side
    1,164.60x = 1,765,344.27
  5. Step 5: Solve for x
    x = 1,765,344.27/1,164.60
  6. Step 6: Final answer
    x = 1,515.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.