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Finding the Fourth Proportional to 1,225.93, 1,831.32 and 982.93

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Solution

The fourth proportional to 1,225.93, 1,831.32 and 982.93 is: 1,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.93 : 1,831.32 = 982.93 : x
  2. Step 2: Convert to fraction form
    1,225.93/1,831.32 = 982.93/x
  3. Step 3: Cross multiply
    1,225.93x = 1,831.32 × 982.93
  4. Step 4: Simplify right side
    1,225.93x = 1,800,059.37
  5. Step 5: Solve for x
    x = 1,800,059.37/1,225.93
  6. Step 6: Final answer
    x = 1,468.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.