Home / 1,434.09-2,151.24-460.27

Finding the Fourth Proportional to 1,434.09, 2,151.24 and 460.27

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Solution

The fourth proportional to 1,434.09, 2,151.24 and 460.27 is: 690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.09 : 2,151.24 = 460.27 : x
  2. Step 2: Convert to fraction form
    1,434.09/2,151.24 = 460.27/x
  3. Step 3: Cross multiply
    1,434.09x = 2,151.24 × 460.27
  4. Step 4: Simplify right side
    1,434.09x = 990,151.23
  5. Step 5: Solve for x
    x = 990,151.23/1,434.09
  6. Step 6: Final answer
    x = 690.44

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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.