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Finding the Fourth Proportional to 949.89, 1,312.31 and 811.44

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Solution

The fourth proportional to 949.89, 1,312.31 and 811.44 is: 1,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.89 : 1,312.31 = 811.44 : x
  2. Step 2: Convert to fraction form
    949.89/1,312.31 = 811.44/x
  3. Step 3: Cross multiply
    949.89x = 1,312.31 × 811.44
  4. Step 4: Simplify right side
    949.89x = 1,064,856.77
  5. Step 5: Solve for x
    x = 1,064,856.77/949.89
  6. Step 6: Final answer
    x = 1,121.03

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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.