Home / 1,097.82-1,515.54-631.98

Finding the Fourth Proportional to 1,097.82, 1,515.54 and 631.98

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Solution

The fourth proportional to 1,097.82, 1,515.54 and 631.98 is: 872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.82 : 1,515.54 = 631.98 : x
  2. Step 2: Convert to fraction form
    1,097.82/1,515.54 = 631.98/x
  3. Step 3: Cross multiply
    1,097.82x = 1,515.54 × 631.98
  4. Step 4: Simplify right side
    1,097.82x = 957,790.97
  5. Step 5: Solve for x
    x = 957,790.97/1,097.82
  6. Step 6: Final answer
    x = 872.45

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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.