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Finding the Fourth Proportional to 653.76, 978.48 and 396

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Solution

The fourth proportional to 653.76, 978.48 and 396 is: 592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 978.48 = 396 : x
  2. Step 2: Convert to fraction form
    653.76/978.48 = 396/x
  3. Step 3: Cross multiply
    653.76x = 978.48 × 396
  4. Step 4: Simplify right side
    653.76x = 387,478.08
  5. Step 5: Solve for x
    x = 387,478.08/653.76
  6. Step 6: Final answer
    x = 592.69

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