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Finding the Fourth Proportional to 945.76, 1,305.97 and 636.16

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Solution

The fourth proportional to 945.76, 1,305.97 and 636.16 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.76 : 1,305.97 = 636.16 : x
  2. Step 2: Convert to fraction form
    945.76/1,305.97 = 636.16/x
  3. Step 3: Cross multiply
    945.76x = 1,305.97 × 636.16
  4. Step 4: Simplify right side
    945.76x = 830,797.75
  5. Step 5: Solve for x
    x = 830,797.75/945.76
  6. Step 6: Final answer
    x = 878.45

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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.