Home / 1,097.12-1,645.67-317.23

Finding the Fourth Proportional to 1,097.12, 1,645.67 and 317.23

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Solution

The fourth proportional to 1,097.12, 1,645.67 and 317.23 is: 475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.12 : 1,645.67 = 317.23 : x
  2. Step 2: Convert to fraction form
    1,097.12/1,645.67 = 317.23/x
  3. Step 3: Cross multiply
    1,097.12x = 1,645.67 × 317.23
  4. Step 4: Simplify right side
    1,097.12x = 522,052.57
  5. Step 5: Solve for x
    x = 522,052.57/1,097.12
  6. Step 6: Final answer
    x = 475.84

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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.