Home / 1,317.09-1,975.69-343.20

Finding the Fourth Proportional to 1,317.09, 1,975.69 and 343.20

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Solution

The fourth proportional to 1,317.09, 1,975.69 and 343.20 is: 514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.09 : 1,975.69 = 343.20 : x
  2. Step 2: Convert to fraction form
    1,317.09/1,975.69 = 343.20/x
  3. Step 3: Cross multiply
    1,317.09x = 1,975.69 × 343.20
  4. Step 4: Simplify right side
    1,317.09x = 678,064.65
  5. Step 5: Solve for x
    x = 678,064.65/1,317.09
  6. Step 6: Final answer
    x = 514.82

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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.