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Finding the Fourth Proportional to 698.38, 1,048.04 and 242.38

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Solution

The fourth proportional to 698.38, 1,048.04 and 242.38 is: 363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.38 : 1,048.04 = 242.38 : x
  2. Step 2: Convert to fraction form
    698.38/1,048.04 = 242.38/x
  3. Step 3: Cross multiply
    698.38x = 1,048.04 × 242.38
  4. Step 4: Simplify right side
    698.38x = 254,023.94
  5. Step 5: Solve for x
    x = 254,023.94/698.38
  6. Step 6: Final answer
    x = 363.73

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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.