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Finding the Fourth Proportional to 1,645.02, 2,466.81 and 490.86

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Solution

The fourth proportional to 1,645.02, 2,466.81 and 490.86 is: 736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.02 : 2,466.81 = 490.86 : x
  2. Step 2: Convert to fraction form
    1,645.02/2,466.81 = 490.86/x
  3. Step 3: Cross multiply
    1,645.02x = 2,466.81 × 490.86
  4. Step 4: Simplify right side
    1,645.02x = 1,210,858.36
  5. Step 5: Solve for x
    x = 1,210,858.36/1,645.02
  6. Step 6: Final answer
    x = 736.08

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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.