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Finding the Fourth Proportional to 1,650, 2,277.16 and 1,028.88

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Solution

The fourth proportional to 1,650, 2,277.16 and 1,028.88 is: 1,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 2,277.16 = 1,028.88 : x
  2. Step 2: Convert to fraction form
    1,650/2,277.16 = 1,028.88/x
  3. Step 3: Cross multiply
    1,650x = 2,277.16 × 1,028.88
  4. Step 4: Simplify right side
    1,650x = 2,342,924.38
  5. Step 5: Solve for x
    x = 2,342,924.38/1,650
  6. Step 6: Final answer
    x = 1,419.95

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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.