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Finding the Fourth Proportional to 684.56, 945.09 and 463.84

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Solution

The fourth proportional to 684.56, 945.09 and 463.84 is: 640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 945.09 = 463.84 : x
  2. Step 2: Convert to fraction form
    684.56/945.09 = 463.84/x
  3. Step 3: Cross multiply
    684.56x = 945.09 × 463.84
  4. Step 4: Simplify right side
    684.56x = 438,368.18
  5. Step 5: Solve for x
    x = 438,368.18/684.56
  6. Step 6: Final answer
    x = 640.36

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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.