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Finding the Fourth Proportional to 685.51, 945.41 and 476.03

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Solution

The fourth proportional to 685.51, 945.41 and 476.03 is: 656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.51 : 945.41 = 476.03 : x
  2. Step 2: Convert to fraction form
    685.51/945.41 = 476.03/x
  3. Step 3: Cross multiply
    685.51x = 945.41 × 476.03
  4. Step 4: Simplify right side
    685.51x = 450,043.51
  5. Step 5: Solve for x
    x = 450,043.51/685.51
  6. Step 6: Final answer
    x = 656.51

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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.