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Finding the Fourth Proportional to 698.46, 1,048.02 and 333.36

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Solution

The fourth proportional to 698.46, 1,048.02 and 333.36 is: 500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 1,048.02 = 333.36 : x
  2. Step 2: Convert to fraction form
    698.46/1,048.02 = 333.36/x
  3. Step 3: Cross multiply
    698.46x = 1,048.02 × 333.36
  4. Step 4: Simplify right side
    698.46x = 349,367.95
  5. Step 5: Solve for x
    x = 349,367.95/698.46
  6. Step 6: Final answer
    x = 500.20

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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.