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Finding the Fourth Proportional to 894.61, 1,234.61 and 496.27

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Solution

The fourth proportional to 894.61, 1,234.61 and 496.27 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.61 : 1,234.61 = 496.27 : x
  2. Step 2: Convert to fraction form
    894.61/1,234.61 = 496.27/x
  3. Step 3: Cross multiply
    894.61x = 1,234.61 × 496.27
  4. Step 4: Simplify right side
    894.61x = 612,699.90
  5. Step 5: Solve for x
    x = 612,699.90/894.61
  6. Step 6: Final answer
    x = 684.88

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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.