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Finding the Fourth Proportional to 459.78, 689.59 and 135.07

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Solution

The fourth proportional to 459.78, 689.59 and 135.07 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.78 : 689.59 = 135.07 : x
  2. Step 2: Convert to fraction form
    459.78/689.59 = 135.07/x
  3. Step 3: Cross multiply
    459.78x = 689.59 × 135.07
  4. Step 4: Simplify right side
    459.78x = 93,141.37
  5. Step 5: Solve for x
    x = 93,141.37/459.78
  6. Step 6: Final answer
    x = 202.58

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