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Finding the Fourth Proportional to 1,690.53, 2,330.70 and 1,100.85

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Solution

The fourth proportional to 1,690.53, 2,330.70 and 1,100.85 is: 1,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.53 : 2,330.70 = 1,100.85 : x
  2. Step 2: Convert to fraction form
    1,690.53/2,330.70 = 1,100.85/x
  3. Step 3: Cross multiply
    1,690.53x = 2,330.70 × 1,100.85
  4. Step 4: Simplify right side
    1,690.53x = 2,565,751.10
  5. Step 5: Solve for x
    x = 2,565,751.10/1,690.53
  6. Step 6: Final answer
    x = 1,517.72

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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.