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Finding the Fourth Proportional to 694.98, 959.04 and 415.40

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Solution

The fourth proportional to 694.98, 959.04 and 415.40 is: 573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.98 : 959.04 = 415.40 : x
  2. Step 2: Convert to fraction form
    694.98/959.04 = 415.40/x
  3. Step 3: Cross multiply
    694.98x = 959.04 × 415.40
  4. Step 4: Simplify right side
    694.98x = 398,385.22
  5. Step 5: Solve for x
    x = 398,385.22/694.98
  6. Step 6: Final answer
    x = 573.23

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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.