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Finding the Fourth Proportional to 1,626.54, 2,244.62 and 880.50

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Solution

The fourth proportional to 1,626.54, 2,244.62 and 880.50 is: 1,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.54 : 2,244.62 = 880.50 : x
  2. Step 2: Convert to fraction form
    1,626.54/2,244.62 = 880.50/x
  3. Step 3: Cross multiply
    1,626.54x = 2,244.62 × 880.50
  4. Step 4: Simplify right side
    1,626.54x = 1,976,383.51
  5. Step 5: Solve for x
    x = 1,976,383.51/1,626.54
  6. Step 6: Final answer
    x = 1,215.08

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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.