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Finding the Fourth Proportional to 660.39, 911.34 and 365.68

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Solution

The fourth proportional to 660.39, 911.34 and 365.68 is: 504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.39 : 911.34 = 365.68 : x
  2. Step 2: Convert to fraction form
    660.39/911.34 = 365.68/x
  3. Step 3: Cross multiply
    660.39x = 911.34 × 365.68
  4. Step 4: Simplify right side
    660.39x = 333,258.81
  5. Step 5: Solve for x
    x = 333,258.81/660.39
  6. Step 6: Final answer
    x = 504.64

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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.