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Finding the Fourth Proportional to 698.41, 959.04 and 624.70

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Solution

The fourth proportional to 698.41, 959.04 and 624.70 is: 857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 959.04 = 624.70 : x
  2. Step 2: Convert to fraction form
    698.41/959.04 = 624.70/x
  3. Step 3: Cross multiply
    698.41x = 959.04 × 624.70
  4. Step 4: Simplify right side
    698.41x = 599,115.83
  5. Step 5: Solve for x
    x = 599,115.83/698.41
  6. Step 6: Final answer
    x = 857.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.