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Finding the Fourth Proportional to 1,650.88, 2,278.20 and 904.83

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Solution

The fourth proportional to 1,650.88, 2,278.20 and 904.83 is: 1,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.88 : 2,278.20 = 904.83 : x
  2. Step 2: Convert to fraction form
    1,650.88/2,278.20 = 904.83/x
  3. Step 3: Cross multiply
    1,650.88x = 2,278.20 × 904.83
  4. Step 4: Simplify right side
    1,650.88x = 2,061,378.56
  5. Step 5: Solve for x
    x = 2,061,378.56/1,650.88
  6. Step 6: Final answer
    x = 1,248.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.