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Finding the Fourth Proportional to 843.68, 1,164.16 and 678.40

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Solution

The fourth proportional to 843.68, 1,164.16 and 678.40 is: 936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.68 : 1,164.16 = 678.40 : x
  2. Step 2: Convert to fraction form
    843.68/1,164.16 = 678.40/x
  3. Step 3: Cross multiply
    843.68x = 1,164.16 × 678.40
  4. Step 4: Simplify right side
    843.68x = 789,766.14
  5. Step 5: Solve for x
    x = 789,766.14/843.68
  6. Step 6: Final answer
    x = 936.10

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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.