Home / 1,434.07-2,151.41-460.17

Finding the Fourth Proportional to 1,434.07, 2,151.41 and 460.17

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Solution

The fourth proportional to 1,434.07, 2,151.41 and 460.17 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.07 : 2,151.41 = 460.17 : x
  2. Step 2: Convert to fraction form
    1,434.07/2,151.41 = 460.17/x
  3. Step 3: Cross multiply
    1,434.07x = 2,151.41 × 460.17
  4. Step 4: Simplify right side
    1,434.07x = 990,014.34
  5. Step 5: Solve for x
    x = 990,014.34/1,434.07
  6. Step 6: Final answer
    x = 690.35

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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.