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Finding the Fourth Proportional to 1,596.39, 2,203.17 and 999.31

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Solution

The fourth proportional to 1,596.39, 2,203.17 and 999.31 is: 1,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.39 : 2,203.17 = 999.31 : x
  2. Step 2: Convert to fraction form
    1,596.39/2,203.17 = 999.31/x
  3. Step 3: Cross multiply
    1,596.39x = 2,203.17 × 999.31
  4. Step 4: Simplify right side
    1,596.39x = 2,201,649.81
  5. Step 5: Solve for x
    x = 2,201,649.81/1,596.39
  6. Step 6: Final answer
    x = 1,379.14

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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.