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Finding the Fourth Proportional to 698.58, 1,041 and 678.78

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Solution

The fourth proportional to 698.58, 1,041 and 678.78 is: 1,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.58 : 1,041 = 678.78 : x
  2. Step 2: Convert to fraction form
    698.58/1,041 = 678.78/x
  3. Step 3: Cross multiply
    698.58x = 1,041 × 678.78
  4. Step 4: Simplify right side
    698.58x = 706,609.98
  5. Step 5: Solve for x
    x = 706,609.98/698.58
  6. Step 6: Final answer
    x = 1,011.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.