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Finding the Fourth Proportional to 699.80, 1,050.26 and 675.88

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Solution

The fourth proportional to 699.80, 1,050.26 and 675.88 is: 1,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.80 : 1,050.26 = 675.88 : x
  2. Step 2: Convert to fraction form
    699.80/1,050.26 = 675.88/x
  3. Step 3: Cross multiply
    699.80x = 1,050.26 × 675.88
  4. Step 4: Simplify right side
    699.80x = 709,849.73
  5. Step 5: Solve for x
    x = 709,849.73/699.80
  6. Step 6: Final answer
    x = 1,014.36

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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.