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Finding the Fourth Proportional to 1,003.95, 1,385.46 and 584.33

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Solution

The fourth proportional to 1,003.95, 1,385.46 and 584.33 is: 806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.95 : 1,385.46 = 584.33 : x
  2. Step 2: Convert to fraction form
    1,003.95/1,385.46 = 584.33/x
  3. Step 3: Cross multiply
    1,003.95x = 1,385.46 × 584.33
  4. Step 4: Simplify right side
    1,003.95x = 809,558.91
  5. Step 5: Solve for x
    x = 809,558.91/1,003.95
  6. Step 6: Final answer
    x = 806.37

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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.