Home / 1,434.24-2,151.32-460.35

Finding the Fourth Proportional to 1,434.24, 2,151.32 and 460.35

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Solution

The fourth proportional to 1,434.24, 2,151.32 and 460.35 is: 690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.24 : 2,151.32 = 460.35 : x
  2. Step 2: Convert to fraction form
    1,434.24/2,151.32 = 460.35/x
  3. Step 3: Cross multiply
    1,434.24x = 2,151.32 × 460.35
  4. Step 4: Simplify right side
    1,434.24x = 990,357.86
  5. Step 5: Solve for x
    x = 990,357.86/1,434.24
  6. Step 6: Final answer
    x = 690.51

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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.