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Finding the Fourth Proportional to 1,523.69, 2,285.54 and 369.44

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Solution

The fourth proportional to 1,523.69, 2,285.54 and 369.44 is: 554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.69 : 2,285.54 = 369.44 : x
  2. Step 2: Convert to fraction form
    1,523.69/2,285.54 = 369.44/x
  3. Step 3: Cross multiply
    1,523.69x = 2,285.54 × 369.44
  4. Step 4: Simplify right side
    1,523.69x = 844,369.90
  5. Step 5: Solve for x
    x = 844,369.90/1,523.69
  6. Step 6: Final answer
    x = 554.16

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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.