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Finding the Fourth Proportional to 685.10, 944.25 and 463.97

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Solution

The fourth proportional to 685.10, 944.25 and 463.97 is: 639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.10 : 944.25 = 463.97 : x
  2. Step 2: Convert to fraction form
    685.10/944.25 = 463.97/x
  3. Step 3: Cross multiply
    685.10x = 944.25 × 463.97
  4. Step 4: Simplify right side
    685.10x = 438,103.67
  5. Step 5: Solve for x
    x = 438,103.67/685.10
  6. Step 6: Final answer
    x = 639.47

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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.