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Finding the Fourth Proportional to 945.69, 1,418.54 and 563.37

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Solution

The fourth proportional to 945.69, 1,418.54 and 563.37 is: 845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.69 : 1,418.54 = 563.37 : x
  2. Step 2: Convert to fraction form
    945.69/1,418.54 = 563.37/x
  3. Step 3: Cross multiply
    945.69x = 1,418.54 × 563.37
  4. Step 4: Simplify right side
    945.69x = 799,160.06
  5. Step 5: Solve for x
    x = 799,160.06/945.69
  6. Step 6: Final answer
    x = 845.06

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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.