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Finding the Fourth Proportional to 894.66, 1,234.59 and 496.30

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Solution

The fourth proportional to 894.66, 1,234.59 and 496.30 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.66 : 1,234.59 = 496.30 : x
  2. Step 2: Convert to fraction form
    894.66/1,234.59 = 496.30/x
  3. Step 3: Cross multiply
    894.66x = 1,234.59 × 496.30
  4. Step 4: Simplify right side
    894.66x = 612,727.02
  5. Step 5: Solve for x
    x = 612,727.02/894.66
  6. Step 6: Final answer
    x = 684.87

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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.