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Finding the Fourth Proportional to 1,211.64, 1,671.93 and 687.66

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Solution

The fourth proportional to 1,211.64, 1,671.93 and 687.66 is: 948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.64 : 1,671.93 = 687.66 : x
  2. Step 2: Convert to fraction form
    1,211.64/1,671.93 = 687.66/x
  3. Step 3: Cross multiply
    1,211.64x = 1,671.93 × 687.66
  4. Step 4: Simplify right side
    1,211.64x = 1,149,719.38
  5. Step 5: Solve for x
    x = 1,149,719.38/1,211.64
  6. Step 6: Final answer
    x = 948.90

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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.