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Finding the Fourth Proportional to 1,350.69, 2,026.32 and 426.51

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Solution

The fourth proportional to 1,350.69, 2,026.32 and 426.51 is: 639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.69 : 2,026.32 = 426.51 : x
  2. Step 2: Convert to fraction form
    1,350.69/2,026.32 = 426.51/x
  3. Step 3: Cross multiply
    1,350.69x = 2,026.32 × 426.51
  4. Step 4: Simplify right side
    1,350.69x = 864,244.14
  5. Step 5: Solve for x
    x = 864,244.14/1,350.69
  6. Step 6: Final answer
    x = 639.86

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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.