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Finding the Fourth Proportional to 974.50, 1,344.81 and 698.98

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Solution

The fourth proportional to 974.50, 1,344.81 and 698.98 is: 964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.50 : 1,344.81 = 698.98 : x
  2. Step 2: Convert to fraction form
    974.50/1,344.81 = 698.98/x
  3. Step 3: Cross multiply
    974.50x = 1,344.81 × 698.98
  4. Step 4: Simplify right side
    974.50x = 939,995.29
  5. Step 5: Solve for x
    x = 939,995.29/974.50
  6. Step 6: Final answer
    x = 964.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.