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Finding the Fourth Proportional to 1,300.09, 1,793.43 and 880.58

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Solution

The fourth proportional to 1,300.09, 1,793.43 and 880.58 is: 1,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.09 : 1,793.43 = 880.58 : x
  2. Step 2: Convert to fraction form
    1,300.09/1,793.43 = 880.58/x
  3. Step 3: Cross multiply
    1,300.09x = 1,793.43 × 880.58
  4. Step 4: Simplify right side
    1,300.09x = 1,579,249.62
  5. Step 5: Solve for x
    x = 1,579,249.62/1,300.09
  6. Step 6: Final answer
    x = 1,214.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.