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Finding the Fourth Proportional to 1,039.85, 1,434.39 and 661.04

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Solution

The fourth proportional to 1,039.85, 1,434.39 and 661.04 is: 911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.85 : 1,434.39 = 661.04 : x
  2. Step 2: Convert to fraction form
    1,039.85/1,434.39 = 661.04/x
  3. Step 3: Cross multiply
    1,039.85x = 1,434.39 × 661.04
  4. Step 4: Simplify right side
    1,039.85x = 948,181.99
  5. Step 5: Solve for x
    x = 948,181.99/1,039.85
  6. Step 6: Final answer
    x = 911.85

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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.