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Finding the Fourth Proportional to 685.94, 947.40 and 464.50

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Solution

The fourth proportional to 685.94, 947.40 and 464.50 is: 641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 947.40 = 464.50 : x
  2. Step 2: Convert to fraction form
    685.94/947.40 = 464.50/x
  3. Step 3: Cross multiply
    685.94x = 947.40 × 464.50
  4. Step 4: Simplify right side
    685.94x = 440,067.30
  5. Step 5: Solve for x
    x = 440,067.30/685.94
  6. Step 6: Final answer
    x = 641.55

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