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Finding the Fourth Proportional to 894.30, 1,338.57 and 460.86

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Solution

The fourth proportional to 894.30, 1,338.57 and 460.86 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.30 : 1,338.57 = 460.86 : x
  2. Step 2: Convert to fraction form
    894.30/1,338.57 = 460.86/x
  3. Step 3: Cross multiply
    894.30x = 1,338.57 × 460.86
  4. Step 4: Simplify right side
    894.30x = 616,893.37
  5. Step 5: Solve for x
    x = 616,893.37/894.30
  6. Step 6: Final answer
    x = 689.81

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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.