Home / 1,040.18-1,560.21-309.75

Finding the Fourth Proportional to 1,040.18, 1,560.21 and 309.75

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Solution

The fourth proportional to 1,040.18, 1,560.21 and 309.75 is: 464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.18 : 1,560.21 = 309.75 : x
  2. Step 2: Convert to fraction form
    1,040.18/1,560.21 = 309.75/x
  3. Step 3: Cross multiply
    1,040.18x = 1,560.21 × 309.75
  4. Step 4: Simplify right side
    1,040.18x = 483,275.05
  5. Step 5: Solve for x
    x = 483,275.05/1,040.18
  6. Step 6: Final answer
    x = 464.61

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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.