Home / 1,047.50-1,571.46-317.15

Finding the Fourth Proportional to 1,047.50, 1,571.46 and 317.15

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Solution

The fourth proportional to 1,047.50, 1,571.46 and 317.15 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.50 : 1,571.46 = 317.15 : x
  2. Step 2: Convert to fraction form
    1,047.50/1,571.46 = 317.15/x
  3. Step 3: Cross multiply
    1,047.50x = 1,571.46 × 317.15
  4. Step 4: Simplify right side
    1,047.50x = 498,380.68
  5. Step 5: Solve for x
    x = 498,380.68/1,047.50
  6. Step 6: Final answer
    x = 475.78

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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.