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Finding the Fourth Proportional to 653.06, 978.78 and 288.02

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Solution

The fourth proportional to 653.06, 978.78 and 288.02 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 978.78 = 288.02 : x
  2. Step 2: Convert to fraction form
    653.06/978.78 = 288.02/x
  3. Step 3: Cross multiply
    653.06x = 978.78 × 288.02
  4. Step 4: Simplify right side
    653.06x = 281,908.22
  5. Step 5: Solve for x
    x = 281,908.22/653.06
  6. Step 6: Final answer
    x = 431.67

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