Home / 1,040.16-1,560.27-309.69

Finding the Fourth Proportional to 1,040.16, 1,560.27 and 309.69

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Solution

The fourth proportional to 1,040.16, 1,560.27 and 309.69 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.16 : 1,560.27 = 309.69 : x
  2. Step 2: Convert to fraction form
    1,040.16/1,560.27 = 309.69/x
  3. Step 3: Cross multiply
    1,040.16x = 1,560.27 × 309.69
  4. Step 4: Simplify right side
    1,040.16x = 483,200.02
  5. Step 5: Solve for x
    x = 483,200.02/1,040.16
  6. Step 6: Final answer
    x = 464.54

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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.