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Finding the Fourth Proportional to 1,313.62, 1,971.12 and 583.72

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Solution

The fourth proportional to 1,313.62, 1,971.12 and 583.72 is: 875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.62 : 1,971.12 = 583.72 : x
  2. Step 2: Convert to fraction form
    1,313.62/1,971.12 = 583.72/x
  3. Step 3: Cross multiply
    1,313.62x = 1,971.12 × 583.72
  4. Step 4: Simplify right side
    1,313.62x = 1,150,582.17
  5. Step 5: Solve for x
    x = 1,150,582.17/1,313.62
  6. Step 6: Final answer
    x = 875.89

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