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Finding the Fourth Proportional to 1,578.09, 2,367.47 and 604.47

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Solution

The fourth proportional to 1,578.09, 2,367.47 and 604.47 is: 906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.09 : 2,367.47 = 604.47 : x
  2. Step 2: Convert to fraction form
    1,578.09/2,367.47 = 604.47/x
  3. Step 3: Cross multiply
    1,578.09x = 2,367.47 × 604.47
  4. Step 4: Simplify right side
    1,578.09x = 1,431,066.10
  5. Step 5: Solve for x
    x = 1,431,066.10/1,578.09
  6. Step 6: Final answer
    x = 906.83

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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.