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Finding the Fourth Proportional to 899.03, 1,241.27 and 563.06

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Solution

The fourth proportional to 899.03, 1,241.27 and 563.06 is: 777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.03 : 1,241.27 = 563.06 : x
  2. Step 2: Convert to fraction form
    899.03/1,241.27 = 563.06/x
  3. Step 3: Cross multiply
    899.03x = 1,241.27 × 563.06
  4. Step 4: Simplify right side
    899.03x = 698,906.67
  5. Step 5: Solve for x
    x = 698,906.67/899.03
  6. Step 6: Final answer
    x = 777.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.