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Finding the Fourth Proportional to 1,600.10, 2,396.70 and 906.41

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Solution

The fourth proportional to 1,600.10, 2,396.70 and 906.41 is: 1,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.10 : 2,396.70 = 906.41 : x
  2. Step 2: Convert to fraction form
    1,600.10/2,396.70 = 906.41/x
  3. Step 3: Cross multiply
    1,600.10x = 2,396.70 × 906.41
  4. Step 4: Simplify right side
    1,600.10x = 2,172,392.85
  5. Step 5: Solve for x
    x = 2,172,392.85/1,600.10
  6. Step 6: Final answer
    x = 1,357.66

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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.