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Finding the Fourth Proportional to 894.71, 1,234.36 and 579.86

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Solution

The fourth proportional to 894.71, 1,234.36 and 579.86 is: 799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.71 : 1,234.36 = 579.86 : x
  2. Step 2: Convert to fraction form
    894.71/1,234.36 = 579.86/x
  3. Step 3: Cross multiply
    894.71x = 1,234.36 × 579.86
  4. Step 4: Simplify right side
    894.71x = 715,753.09
  5. Step 5: Solve for x
    x = 715,753.09/894.71
  6. Step 6: Final answer
    x = 799.99

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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.