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Finding the Fourth Proportional to 945.63, 1,305.45 and 648.43

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Solution

The fourth proportional to 945.63, 1,305.45 and 648.43 is: 895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.63 : 1,305.45 = 648.43 : x
  2. Step 2: Convert to fraction form
    945.63/1,305.45 = 648.43/x
  3. Step 3: Cross multiply
    945.63x = 1,305.45 × 648.43
  4. Step 4: Simplify right side
    945.63x = 846,489.68
  5. Step 5: Solve for x
    x = 846,489.68/945.63
  6. Step 6: Final answer
    x = 895.16

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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.