Home / 1,040.02-1,560.19-309.51

Finding the Fourth Proportional to 1,040.02, 1,560.19 and 309.51

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Solution

The fourth proportional to 1,040.02, 1,560.19 and 309.51 is: 464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.02 : 1,560.19 = 309.51 : x
  2. Step 2: Convert to fraction form
    1,040.02/1,560.19 = 309.51/x
  3. Step 3: Cross multiply
    1,040.02x = 1,560.19 × 309.51
  4. Step 4: Simplify right side
    1,040.02x = 482,894.41
  5. Step 5: Solve for x
    x = 482,894.41/1,040.02
  6. Step 6: Final answer
    x = 464.31

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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.