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Finding the Fourth Proportional to 698.10, 1,036.32 and 668.94

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Solution

The fourth proportional to 698.10, 1,036.32 and 668.94 is: 993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 1,036.32 = 668.94 : x
  2. Step 2: Convert to fraction form
    698.10/1,036.32 = 668.94/x
  3. Step 3: Cross multiply
    698.10x = 1,036.32 × 668.94
  4. Step 4: Simplify right side
    698.10x = 693,235.90
  5. Step 5: Solve for x
    x = 693,235.90/698.10
  6. Step 6: Final answer
    x = 993.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.