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Finding the Fourth Proportional to 685.34, 945.52 and 463.94

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Solution

The fourth proportional to 685.34, 945.52 and 463.94 is: 640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.34 : 945.52 = 463.94 : x
  2. Step 2: Convert to fraction form
    685.34/945.52 = 463.94/x
  3. Step 3: Cross multiply
    685.34x = 945.52 × 463.94
  4. Step 4: Simplify right side
    685.34x = 438,664.55
  5. Step 5: Solve for x
    x = 438,664.55/685.34
  6. Step 6: Final answer
    x = 640.07

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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.