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Finding the Fourth Proportional to 1,272.18, 1,908.81 and 578.82

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Solution

The fourth proportional to 1,272.18, 1,908.81 and 578.82 is: 868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.18 : 1,908.81 = 578.82 : x
  2. Step 2: Convert to fraction form
    1,272.18/1,908.81 = 578.82/x
  3. Step 3: Cross multiply
    1,272.18x = 1,908.81 × 578.82
  4. Step 4: Simplify right side
    1,272.18x = 1,104,857.40
  5. Step 5: Solve for x
    x = 1,104,857.40/1,272.18
  6. Step 6: Final answer
    x = 868.48

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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.