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Finding the Fourth Proportional to 1,523.78, 2,285.66 and 428.15

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Solution

The fourth proportional to 1,523.78, 2,285.66 and 428.15 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.78 : 2,285.66 = 428.15 : x
  2. Step 2: Convert to fraction form
    1,523.78/2,285.66 = 428.15/x
  3. Step 3: Cross multiply
    1,523.78x = 2,285.66 × 428.15
  4. Step 4: Simplify right side
    1,523.78x = 978,605.33
  5. Step 5: Solve for x
    x = 978,605.33/1,523.78
  6. Step 6: Final answer
    x = 642.22

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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.