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Finding the Fourth Proportional to 911.03, 1,365.57 and 362.45

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Solution

The fourth proportional to 911.03, 1,365.57 and 362.45 is: 543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.03 : 1,365.57 = 362.45 : x
  2. Step 2: Convert to fraction form
    911.03/1,365.57 = 362.45/x
  3. Step 3: Cross multiply
    911.03x = 1,365.57 × 362.45
  4. Step 4: Simplify right side
    911.03x = 494,944.02
  5. Step 5: Solve for x
    x = 494,944.02/911.03
  6. Step 6: Final answer
    x = 543.28

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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.