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Finding the Fourth Proportional to 671.04, 1,006.56 and 414

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Solution

The fourth proportional to 671.04, 1,006.56 and 414 is: 621

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.04 : 1,006.56 = 414 : x
  2. Step 2: Convert to fraction form
    671.04/1,006.56 = 414/x
  3. Step 3: Cross multiply
    671.04x = 1,006.56 × 414
  4. Step 4: Simplify right side
    671.04x = 416,715.84
  5. Step 5: Solve for x
    x = 416,715.84/671.04
  6. Step 6: Final answer
    x = 621

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