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Finding the Fourth Proportional to 685.94, 947.41 and 464.51

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Solution

The fourth proportional to 685.94, 947.41 and 464.51 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 947.41 = 464.51 : x
  2. Step 2: Convert to fraction form
    685.94/947.41 = 464.51/x
  3. Step 3: Cross multiply
    685.94x = 947.41 × 464.51
  4. Step 4: Simplify right side
    685.94x = 440,074.36
  5. Step 5: Solve for x
    x = 440,074.36/685.94
  6. Step 6: Final answer
    x = 641.56

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1.5x scale

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.