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Finding the Fourth Proportional to 723.86, 1,084.98 and 313.19

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Solution

The fourth proportional to 723.86, 1,084.98 and 313.19 is: 469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.86 : 1,084.98 = 313.19 : x
  2. Step 2: Convert to fraction form
    723.86/1,084.98 = 313.19/x
  3. Step 3: Cross multiply
    723.86x = 1,084.98 × 313.19
  4. Step 4: Simplify right side
    723.86x = 339,804.89
  5. Step 5: Solve for x
    x = 339,804.89/723.86
  6. Step 6: Final answer
    x = 469.43

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