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Finding the Fourth Proportional to 1,648.82, 2,275.28 and 902.63

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Solution

The fourth proportional to 1,648.82, 2,275.28 and 902.63 is: 1,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.82 : 2,275.28 = 902.63 : x
  2. Step 2: Convert to fraction form
    1,648.82/2,275.28 = 902.63/x
  3. Step 3: Cross multiply
    1,648.82x = 2,275.28 × 902.63
  4. Step 4: Simplify right side
    1,648.82x = 2,053,735.99
  5. Step 5: Solve for x
    x = 2,053,735.99/1,648.82
  6. Step 6: Final answer
    x = 1,245.58

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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.