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Finding the Fourth Proportional to 1,522.75, 2,284.17 and 427.02

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Solution

The fourth proportional to 1,522.75, 2,284.17 and 427.02 is: 640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.75 : 2,284.17 = 427.02 : x
  2. Step 2: Convert to fraction form
    1,522.75/2,284.17 = 427.02/x
  3. Step 3: Cross multiply
    1,522.75x = 2,284.17 × 427.02
  4. Step 4: Simplify right side
    1,522.75x = 975,386.27
  5. Step 5: Solve for x
    x = 975,386.27/1,522.75
  6. Step 6: Final answer
    x = 640.54

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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.