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Finding the Fourth Proportional to 698.97, 964.43 and 415.34

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Solution

The fourth proportional to 698.97, 964.43 and 415.34 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.97 : 964.43 = 415.34 : x
  2. Step 2: Convert to fraction form
    698.97/964.43 = 415.34/x
  3. Step 3: Cross multiply
    698.97x = 964.43 × 415.34
  4. Step 4: Simplify right side
    698.97x = 400,566.36
  5. Step 5: Solve for x
    x = 400,566.36/698.97
  6. Step 6: Final answer
    x = 573.08

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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.