Home / 1,522.64-2,284.09-427.16

Finding the Fourth Proportional to 1,522.64, 2,284.09 and 427.16

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Solution

The fourth proportional to 1,522.64, 2,284.09 and 427.16 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.64 : 2,284.09 = 427.16 : x
  2. Step 2: Convert to fraction form
    1,522.64/2,284.09 = 427.16/x
  3. Step 3: Cross multiply
    1,522.64x = 2,284.09 × 427.16
  4. Step 4: Simplify right side
    1,522.64x = 975,671.88
  5. Step 5: Solve for x
    x = 975,671.88/1,522.64
  6. Step 6: Final answer
    x = 640.78

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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.