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Finding the Fourth Proportional to 734.01, 1,099.98 and 368.28

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Solution

The fourth proportional to 734.01, 1,099.98 and 368.28 is: 551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.01 : 1,099.98 = 368.28 : x
  2. Step 2: Convert to fraction form
    734.01/1,099.98 = 368.28/x
  3. Step 3: Cross multiply
    734.01x = 1,099.98 × 368.28
  4. Step 4: Simplify right side
    734.01x = 405,100.63
  5. Step 5: Solve for x
    x = 405,100.63/734.01
  6. Step 6: Final answer
    x = 551.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.