Home / 1,522.26-2,284.74-742.68

Finding the Fourth Proportional to 1,522.26, 2,284.74 and 742.68

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Solution

The fourth proportional to 1,522.26, 2,284.74 and 742.68 is: 1,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.26 : 2,284.74 = 742.68 : x
  2. Step 2: Convert to fraction form
    1,522.26/2,284.74 = 742.68/x
  3. Step 3: Cross multiply
    1,522.26x = 2,284.74 × 742.68
  4. Step 4: Simplify right side
    1,522.26x = 1,696,830.70
  5. Step 5: Solve for x
    x = 1,696,830.70/1,522.26
  6. Step 6: Final answer
    x = 1,114.68

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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.