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Finding the Fourth Proportional to 698.73, 1,048.10 and 455.73

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Solution

The fourth proportional to 698.73, 1,048.10 and 455.73 is: 683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.73 : 1,048.10 = 455.73 : x
  2. Step 2: Convert to fraction form
    698.73/1,048.10 = 455.73/x
  3. Step 3: Cross multiply
    698.73x = 1,048.10 × 455.73
  4. Step 4: Simplify right side
    698.73x = 477,648.33
  5. Step 5: Solve for x
    x = 477,648.33/698.73
  6. Step 6: Final answer
    x = 683.60

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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.