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Finding the Fourth Proportional to 684.92, 945.60 and 464.06

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Solution

The fourth proportional to 684.92, 945.60 and 464.06 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 945.60 = 464.06 : x
  2. Step 2: Convert to fraction form
    684.92/945.60 = 464.06/x
  3. Step 3: Cross multiply
    684.92x = 945.60 × 464.06
  4. Step 4: Simplify right side
    684.92x = 438,815.14
  5. Step 5: Solve for x
    x = 438,815.14/684.92
  6. Step 6: Final answer
    x = 640.68

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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.