Home / 1,522.89-2,284.22-427.23

Finding the Fourth Proportional to 1,522.89, 2,284.22 and 427.23

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Solution

The fourth proportional to 1,522.89, 2,284.22 and 427.23 is: 640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.89 : 2,284.22 = 427.23 : x
  2. Step 2: Convert to fraction form
    1,522.89/2,284.22 = 427.23/x
  3. Step 3: Cross multiply
    1,522.89x = 2,284.22 × 427.23
  4. Step 4: Simplify right side
    1,522.89x = 975,885.17
  5. Step 5: Solve for x
    x = 975,885.17/1,522.89
  6. Step 6: Final answer
    x = 640.81

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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.