Home / 1,397.23-2,096.10-460.22

Finding the Fourth Proportional to 1,397.23, 2,096.10 and 460.22

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Solution

The fourth proportional to 1,397.23, 2,096.10 and 460.22 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.23 : 2,096.10 = 460.22 : x
  2. Step 2: Convert to fraction form
    1,397.23/2,096.10 = 460.22/x
  3. Step 3: Cross multiply
    1,397.23x = 2,096.10 × 460.22
  4. Step 4: Simplify right side
    1,397.23x = 964,673.28
  5. Step 5: Solve for x
    x = 964,673.28/1,397.23
  6. Step 6: Final answer
    x = 690.42

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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.