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Finding the Fourth Proportional to 1,522.47, 2,283.83 and 426.84

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Solution

The fourth proportional to 1,522.47, 2,283.83 and 426.84 is: 640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.47 : 2,283.83 = 426.84 : x
  2. Step 2: Convert to fraction form
    1,522.47/2,283.83 = 426.84/x
  3. Step 3: Cross multiply
    1,522.47x = 2,283.83 × 426.84
  4. Step 4: Simplify right side
    1,522.47x = 974,830.00
  5. Step 5: Solve for x
    x = 974,830.00/1,522.47
  6. Step 6: Final answer
    x = 640.30

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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.