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Finding the Fourth Proportional to 1,633.62, 2,254.74 and 1,004.00

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Solution

The fourth proportional to 1,633.62, 2,254.74 and 1,004.00 is: 1,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.62 : 2,254.74 = 1,004.00 : x
  2. Step 2: Convert to fraction form
    1,633.62/2,254.74 = 1,004.00/x
  3. Step 3: Cross multiply
    1,633.62x = 2,254.74 × 1,004.00
  4. Step 4: Simplify right side
    1,633.62x = 2,263,742.67
  5. Step 5: Solve for x
    x = 2,263,742.67/1,633.62
  6. Step 6: Final answer
    x = 1,385.72

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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.