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Finding the Fourth Proportional to 1,605.44, 2,406.74 and 1,508.64

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Solution

The fourth proportional to 1,605.44, 2,406.74 and 1,508.64 is: 2,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.44 : 2,406.74 = 1,508.64 : x
  2. Step 2: Convert to fraction form
    1,605.44/2,406.74 = 1,508.64/x
  3. Step 3: Cross multiply
    1,605.44x = 2,406.74 × 1,508.64
  4. Step 4: Simplify right side
    1,605.44x = 3,630,896.69
  5. Step 5: Solve for x
    x = 3,630,896.69/1,605.44
  6. Step 6: Final answer
    x = 2,261.63

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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.