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Finding the Fourth Proportional to 1,578.75, 2,369.86 and 654.96

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Solution

The fourth proportional to 1,578.75, 2,369.86 and 654.96 is: 983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.75 : 2,369.86 = 654.96 : x
  2. Step 2: Convert to fraction form
    1,578.75/2,369.86 = 654.96/x
  3. Step 3: Cross multiply
    1,578.75x = 2,369.86 × 654.96
  4. Step 4: Simplify right side
    1,578.75x = 1,552,161.87
  5. Step 5: Solve for x
    x = 1,552,161.87/1,578.75
  6. Step 6: Final answer
    x = 983.16

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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.