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Finding the Fourth Proportional to 734.91, 1,102.40 and 410.03

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Solution

The fourth proportional to 734.91, 1,102.40 and 410.03 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.91 : 1,102.40 = 410.03 : x
  2. Step 2: Convert to fraction form
    734.91/1,102.40 = 410.03/x
  3. Step 3: Cross multiply
    734.91x = 1,102.40 × 410.03
  4. Step 4: Simplify right side
    734.91x = 452,017.07
  5. Step 5: Solve for x
    x = 452,017.07/734.91
  6. Step 6: Final answer
    x = 615.06

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