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Finding the Fourth Proportional to 978, 1,467.66 and 400.86

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Solution

The fourth proportional to 978, 1,467.66 and 400.86 is: 601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    978 : 1,467.66 = 400.86 : x
  2. Step 2: Convert to fraction form
    978/1,467.66 = 400.86/x
  3. Step 3: Cross multiply
    978x = 1,467.66 × 400.86
  4. Step 4: Simplify right side
    978x = 588,326.19
  5. Step 5: Solve for x
    x = 588,326.19/978
  6. Step 6: Final answer
    x = 601.56

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