Home / 1,039.50-1,559.25-309.06

Finding the Fourth Proportional to 1,039.50, 1,559.25 and 309.06

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Solution

The fourth proportional to 1,039.50, 1,559.25 and 309.06 is: 463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.50 : 1,559.25 = 309.06 : x
  2. Step 2: Convert to fraction form
    1,039.50/1,559.25 = 309.06/x
  3. Step 3: Cross multiply
    1,039.50x = 1,559.25 × 309.06
  4. Step 4: Simplify right side
    1,039.50x = 481,901.81
  5. Step 5: Solve for x
    x = 481,901.81/1,039.50
  6. Step 6: Final answer
    x = 463.59

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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.