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Finding the Fourth Proportional to 678.75, 936.86 and 446.19

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Solution

The fourth proportional to 678.75, 936.86 and 446.19 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 936.86 = 446.19 : x
  2. Step 2: Convert to fraction form
    678.75/936.86 = 446.19/x
  3. Step 3: Cross multiply
    678.75x = 936.86 × 446.19
  4. Step 4: Simplify right side
    678.75x = 418,015.33
  5. Step 5: Solve for x
    x = 418,015.33/678.75
  6. Step 6: Final answer
    x = 615.86

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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.