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Finding the Fourth Proportional to 647.78, 971.66 and 282.83

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Solution

The fourth proportional to 647.78, 971.66 and 282.83 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 971.66 = 282.83 : x
  2. Step 2: Convert to fraction form
    647.78/971.66 = 282.83/x
  3. Step 3: Cross multiply
    647.78x = 971.66 × 282.83
  4. Step 4: Simplify right side
    647.78x = 274,808.33
  5. Step 5: Solve for x
    x = 274,808.33/647.78
  6. Step 6: Final answer
    x = 424.23

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