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Finding the Fourth Proportional to 1,520.75, 2,282.07 and 655.07

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Solution

The fourth proportional to 1,520.75, 2,282.07 and 655.07 is: 983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.75 : 2,282.07 = 655.07 : x
  2. Step 2: Convert to fraction form
    1,520.75/2,282.07 = 655.07/x
  3. Step 3: Cross multiply
    1,520.75x = 2,282.07 × 655.07
  4. Step 4: Simplify right side
    1,520.75x = 1,494,915.59
  5. Step 5: Solve for x
    x = 1,494,915.59/1,520.75
  6. Step 6: Final answer
    x = 983.01

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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.