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Finding the Fourth Proportional to 698.61, 1,047.02 and 369.54

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Solution

The fourth proportional to 698.61, 1,047.02 and 369.54 is: 553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 1,047.02 = 369.54 : x
  2. Step 2: Convert to fraction form
    698.61/1,047.02 = 369.54/x
  3. Step 3: Cross multiply
    698.61x = 1,047.02 × 369.54
  4. Step 4: Simplify right side
    698.61x = 386,914.73
  5. Step 5: Solve for x
    x = 386,914.73/698.61
  6. Step 6: Final answer
    x = 553.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.