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Finding the Fourth Proportional to 1,396.97, 2,095.55 and 472.62

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Solution

The fourth proportional to 1,396.97, 2,095.55 and 472.62 is: 708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.97 : 2,095.55 = 472.62 : x
  2. Step 2: Convert to fraction form
    1,396.97/2,095.55 = 472.62/x
  3. Step 3: Cross multiply
    1,396.97x = 2,095.55 × 472.62
  4. Step 4: Simplify right side
    1,396.97x = 990,398.84
  5. Step 5: Solve for x
    x = 990,398.84/1,396.97
  6. Step 6: Final answer
    x = 708.96

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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.