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Finding the Fourth Proportional to 698.62, 1,048.32 and 455.62

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Solution

The fourth proportional to 698.62, 1,048.32 and 455.62 is: 683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.62 : 1,048.32 = 455.62 : x
  2. Step 2: Convert to fraction form
    698.62/1,048.32 = 455.62/x
  3. Step 3: Cross multiply
    698.62x = 1,048.32 × 455.62
  4. Step 4: Simplify right side
    698.62x = 477,635.56
  5. Step 5: Solve for x
    x = 477,635.56/698.62
  6. Step 6: Final answer
    x = 683.68

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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.