Home / 1,434.14-2,151.09-460.20

Finding the Fourth Proportional to 1,434.14, 2,151.09 and 460.20

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Solution

The fourth proportional to 1,434.14, 2,151.09 and 460.20 is: 690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.14 : 2,151.09 = 460.20 : x
  2. Step 2: Convert to fraction form
    1,434.14/2,151.09 = 460.20/x
  3. Step 3: Cross multiply
    1,434.14x = 2,151.09 × 460.20
  4. Step 4: Simplify right side
    1,434.14x = 989,931.62
  5. Step 5: Solve for x
    x = 989,931.62/1,434.14
  6. Step 6: Final answer
    x = 690.26

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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.