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Finding the Fourth Proportional to 1,211.57, 1,672.00 and 687.56

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Solution

The fourth proportional to 1,211.57, 1,672.00 and 687.56 is: 948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.57 : 1,672.00 = 687.56 : x
  2. Step 2: Convert to fraction form
    1,211.57/1,672.00 = 687.56/x
  3. Step 3: Cross multiply
    1,211.57x = 1,672.00 × 687.56
  4. Step 4: Simplify right side
    1,211.57x = 1,149,602.78
  5. Step 5: Solve for x
    x = 1,149,602.78/1,211.57
  6. Step 6: Final answer
    x = 948.86

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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.