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Finding the Fourth Proportional to 1,178.37, 1,765.44 and 831.15

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Solution

The fourth proportional to 1,178.37, 1,765.44 and 831.15 is: 1,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.37 : 1,765.44 = 831.15 : x
  2. Step 2: Convert to fraction form
    1,178.37/1,765.44 = 831.15/x
  3. Step 3: Cross multiply
    1,178.37x = 1,765.44 × 831.15
  4. Step 4: Simplify right side
    1,178.37x = 1,467,345.46
  5. Step 5: Solve for x
    x = 1,467,345.46/1,178.37
  6. Step 6: Final answer
    x = 1,245.23

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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.