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Finding the Fourth Proportional to 685.46, 945.38 and 464.06

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Solution

The fourth proportional to 685.46, 945.38 and 464.06 is: 640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 945.38 = 464.06 : x
  2. Step 2: Convert to fraction form
    685.46/945.38 = 464.06/x
  3. Step 3: Cross multiply
    685.46x = 945.38 × 464.06
  4. Step 4: Simplify right side
    685.46x = 438,713.04
  5. Step 5: Solve for x
    x = 438,713.04/685.46
  6. Step 6: Final answer
    x = 640.03

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Double scale
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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.