Home / 1,564.74-2,344.41-742.68

Finding the Fourth Proportional to 1,564.74, 2,344.41 and 742.68

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Solution

The fourth proportional to 1,564.74, 2,344.41 and 742.68 is: 1,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.74 : 2,344.41 = 742.68 : x
  2. Step 2: Convert to fraction form
    1,564.74/2,344.41 = 742.68/x
  3. Step 3: Cross multiply
    1,564.74x = 2,344.41 × 742.68
  4. Step 4: Simplify right side
    1,564.74x = 1,741,146.42
  5. Step 5: Solve for x
    x = 1,741,146.42/1,564.74
  6. Step 6: Final answer
    x = 1,112.74

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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.