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Finding the Fourth Proportional to 1,889.74, 2,831.46 and 656.47

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Solution

The fourth proportional to 1,889.74, 2,831.46 and 656.47 is: 983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.74 : 2,831.46 = 656.47 : x
  2. Step 2: Convert to fraction form
    1,889.74/2,831.46 = 656.47/x
  3. Step 3: Cross multiply
    1,889.74x = 2,831.46 × 656.47
  4. Step 4: Simplify right side
    1,889.74x = 1,858,768.55
  5. Step 5: Solve for x
    x = 1,858,768.55/1,889.74
  6. Step 6: Final answer
    x = 983.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.