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Finding the Fourth Proportional to 1,211.05, 1,671.03 and 687.08

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Solution

The fourth proportional to 1,211.05, 1,671.03 and 687.08 is: 948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.05 : 1,671.03 = 687.08 : x
  2. Step 2: Convert to fraction form
    1,211.05/1,671.03 = 687.08/x
  3. Step 3: Cross multiply
    1,211.05x = 1,671.03 × 687.08
  4. Step 4: Simplify right side
    1,211.05x = 1,148,135.47
  5. Step 5: Solve for x
    x = 1,148,135.47/1,211.05
  6. Step 6: Final answer
    x = 948.05

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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.