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Finding the Fourth Proportional to 707.78, 976.69 and 413

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Solution

The fourth proportional to 707.78, 976.69 and 413 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 976.69 = 413 : x
  2. Step 2: Convert to fraction form
    707.78/976.69 = 413/x
  3. Step 3: Cross multiply
    707.78x = 976.69 × 413
  4. Step 4: Simplify right side
    707.78x = 403,372.97
  5. Step 5: Solve for x
    x = 403,372.97/707.78
  6. Step 6: Final answer
    x = 569.91

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