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Finding the Fourth Proportional to 894.39, 1,338.32 and 790.51

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Solution

The fourth proportional to 894.39, 1,338.32 and 790.51 is: 1,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.39 : 1,338.32 = 790.51 : x
  2. Step 2: Convert to fraction form
    894.39/1,338.32 = 790.51/x
  3. Step 3: Cross multiply
    894.39x = 1,338.32 × 790.51
  4. Step 4: Simplify right side
    894.39x = 1,057,956.48
  5. Step 5: Solve for x
    x = 1,057,956.48/894.39
  6. Step 6: Final answer
    x = 1,182.88

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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.