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Finding the Fourth Proportional to 1,095.73, 1,642.64 and 412.21

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Solution

The fourth proportional to 1,095.73, 1,642.64 and 412.21 is: 617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.73 : 1,642.64 = 412.21 : x
  2. Step 2: Convert to fraction form
    1,095.73/1,642.64 = 412.21/x
  3. Step 3: Cross multiply
    1,095.73x = 1,642.64 × 412.21
  4. Step 4: Simplify right side
    1,095.73x = 677,110.57
  5. Step 5: Solve for x
    x = 677,110.57/1,095.73
  6. Step 6: Final answer
    x = 617.95

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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.