Home / 1,389.31-2,083.23-464.57

Finding the Fourth Proportional to 1,389.31, 2,083.23 and 464.57

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Solution

The fourth proportional to 1,389.31, 2,083.23 and 464.57 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.31 : 2,083.23 = 464.57 : x
  2. Step 2: Convert to fraction form
    1,389.31/2,083.23 = 464.57/x
  3. Step 3: Cross multiply
    1,389.31x = 2,083.23 × 464.57
  4. Step 4: Simplify right side
    1,389.31x = 967,799.82
  5. Step 5: Solve for x
    x = 967,799.82/1,389.31
  6. Step 6: Final answer
    x = 696.60

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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.