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Finding the Fourth Proportional to 734.08, 1,105.48 and 639.04

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Solution

The fourth proportional to 734.08, 1,105.48 and 639.04 is: 962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.08 : 1,105.48 = 639.04 : x
  2. Step 2: Convert to fraction form
    734.08/1,105.48 = 639.04/x
  3. Step 3: Cross multiply
    734.08x = 1,105.48 × 639.04
  4. Step 4: Simplify right side
    734.08x = 706,445.94
  5. Step 5: Solve for x
    x = 706,445.94/734.08
  6. Step 6: Final answer
    x = 962.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.