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Finding the Fourth Proportional to 1,396.20, 1,927 and 898.96

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Solution

The fourth proportional to 1,396.20, 1,927 and 898.96 is: 1,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.20 : 1,927 = 898.96 : x
  2. Step 2: Convert to fraction form
    1,396.20/1,927 = 898.96/x
  3. Step 3: Cross multiply
    1,396.20x = 1,927 × 898.96
  4. Step 4: Simplify right side
    1,396.20x = 1,732,295.92
  5. Step 5: Solve for x
    x = 1,732,295.92/1,396.20
  6. Step 6: Final answer
    x = 1,240.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.