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Finding the Fourth Proportional to 911.05, 1,256.26 and 615.81

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Solution

The fourth proportional to 911.05, 1,256.26 and 615.81 is: 849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.05 : 1,256.26 = 615.81 : x
  2. Step 2: Convert to fraction form
    911.05/1,256.26 = 615.81/x
  3. Step 3: Cross multiply
    911.05x = 1,256.26 × 615.81
  4. Step 4: Simplify right side
    911.05x = 773,617.47
  5. Step 5: Solve for x
    x = 773,617.47/911.05
  6. Step 6: Final answer
    x = 849.15

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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.