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Finding the Fourth Proportional to 1,524.51, 2,286.90 and 428.90

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Solution

The fourth proportional to 1,524.51, 2,286.90 and 428.90 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.51 : 2,286.90 = 428.90 : x
  2. Step 2: Convert to fraction form
    1,524.51/2,286.90 = 428.90/x
  3. Step 3: Cross multiply
    1,524.51x = 2,286.90 × 428.90
  4. Step 4: Simplify right side
    1,524.51x = 980,839.98
  5. Step 5: Solve for x
    x = 980,839.98/1,524.51
  6. Step 6: Final answer
    x = 643.38

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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.