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Finding the Fourth Proportional to 1,095.21, 1,643.25 and 445.79

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Solution

The fourth proportional to 1,095.21, 1,643.25 and 445.79 is: 668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.21 : 1,643.25 = 445.79 : x
  2. Step 2: Convert to fraction form
    1,095.21/1,643.25 = 445.79/x
  3. Step 3: Cross multiply
    1,095.21x = 1,643.25 × 445.79
  4. Step 4: Simplify right side
    1,095.21x = 732,550.20
  5. Step 5: Solve for x
    x = 732,550.20/1,095.21
  6. Step 6: Final answer
    x = 668.87

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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.