Home / 1,434.51-2,151.30-460.38

Finding the Fourth Proportional to 1,434.51, 2,151.30 and 460.38

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Solution

The fourth proportional to 1,434.51, 2,151.30 and 460.38 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.51 : 2,151.30 = 460.38 : x
  2. Step 2: Convert to fraction form
    1,434.51/2,151.30 = 460.38/x
  3. Step 3: Cross multiply
    1,434.51x = 2,151.30 × 460.38
  4. Step 4: Simplify right side
    1,434.51x = 990,415.49
  5. Step 5: Solve for x
    x = 990,415.49/1,434.51
  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.