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Finding the Fourth Proportional to 1,396.77, 2,095.04 and 472.31

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Solution

The fourth proportional to 1,396.77, 2,095.04 and 472.31 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.77 : 2,095.04 = 472.31 : x
  2. Step 2: Convert to fraction form
    1,396.77/2,095.04 = 472.31/x
  3. Step 3: Cross multiply
    1,396.77x = 2,095.04 × 472.31
  4. Step 4: Simplify right side
    1,396.77x = 989,504.25
  5. Step 5: Solve for x
    x = 989,504.25/1,396.77
  6. Step 6: Final answer
    x = 708.42

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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.