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Finding the Fourth Proportional to 460.92, 694.60 and 438.96

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Solution

The fourth proportional to 460.92, 694.60 and 438.96 is: 661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 694.60 = 438.96 : x
  2. Step 2: Convert to fraction form
    460.92/694.60 = 438.96/x
  3. Step 3: Cross multiply
    460.92x = 694.60 × 438.96
  4. Step 4: Simplify right side
    460.92x = 304,901.62
  5. Step 5: Solve for x
    x = 304,901.62/460.92
  6. Step 6: Final answer
    x = 661.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.