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Finding the Fourth Proportional to 1,659.93, 2,293.78 and 1,605.86

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Solution

The fourth proportional to 1,659.93, 2,293.78 and 1,605.86 is: 2,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.93 : 2,293.78 = 1,605.86 : x
  2. Step 2: Convert to fraction form
    1,659.93/2,293.78 = 1,605.86/x
  3. Step 3: Cross multiply
    1,659.93x = 2,293.78 × 1,605.86
  4. Step 4: Simplify right side
    1,659.93x = 3,683,489.55
  5. Step 5: Solve for x
    x = 3,683,489.55/1,659.93
  6. Step 6: Final answer
    x = 2,219.06

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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.