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Finding the Fourth Proportional to 698.90, 964.44 and 388.40

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Solution

The fourth proportional to 698.90, 964.44 and 388.40 is: 535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 964.44 = 388.40 : x
  2. Step 2: Convert to fraction form
    698.90/964.44 = 388.40/x
  3. Step 3: Cross multiply
    698.90x = 964.44 × 388.40
  4. Step 4: Simplify right side
    698.90x = 374,588.50
  5. Step 5: Solve for x
    x = 374,588.50/698.90
  6. Step 6: Final answer
    x = 535.97

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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.