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Finding the Fourth Proportional to 698.98, 1,046.41 and 490.01

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Solution

The fourth proportional to 698.98, 1,046.41 and 490.01 is: 733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 1,046.41 = 490.01 : x
  2. Step 2: Convert to fraction form
    698.98/1,046.41 = 490.01/x
  3. Step 3: Cross multiply
    698.98x = 1,046.41 × 490.01
  4. Step 4: Simplify right side
    698.98x = 512,751.36
  5. Step 5: Solve for x
    x = 512,751.36/698.98
  6. Step 6: Final answer
    x = 733.58

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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.