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Finding the Fourth Proportional to 1,039.58, 1,435.14 and 646.73

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Solution

The fourth proportional to 1,039.58, 1,435.14 and 646.73 is: 892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.58 : 1,435.14 = 646.73 : x
  2. Step 2: Convert to fraction form
    1,039.58/1,435.14 = 646.73/x
  3. Step 3: Cross multiply
    1,039.58x = 1,435.14 × 646.73
  4. Step 4: Simplify right side
    1,039.58x = 928,148.09
  5. Step 5: Solve for x
    x = 928,148.09/1,039.58
  6. Step 6: Final answer
    x = 892.81

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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.