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Finding the Fourth Proportional to 698.68, 964.08 and 388.18

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Solution

The fourth proportional to 698.68, 964.08 and 388.18 is: 535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 964.08 = 388.18 : x
  2. Step 2: Convert to fraction form
    698.68/964.08 = 388.18/x
  3. Step 3: Cross multiply
    698.68x = 964.08 × 388.18
  4. Step 4: Simplify right side
    698.68x = 374,236.57
  5. Step 5: Solve for x
    x = 374,236.57/698.68
  6. Step 6: Final answer
    x = 535.63

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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.