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Finding the Fourth Proportional to 784.40, 1,175.88 and 698

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Solution

The fourth proportional to 784.40, 1,175.88 and 698 is: 1,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.40 : 1,175.88 = 698 : x
  2. Step 2: Convert to fraction form
    784.40/1,175.88 = 698/x
  3. Step 3: Cross multiply
    784.40x = 1,175.88 × 698
  4. Step 4: Simplify right side
    784.40x = 820,764.24
  5. Step 5: Solve for x
    x = 820,764.24/784.40
  6. Step 6: Final answer
    x = 1,046.36

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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.