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Finding the Fourth Proportional to 796.16, 1,098.60 and 446.76

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Solution

The fourth proportional to 796.16, 1,098.60 and 446.76 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.16 : 1,098.60 = 446.76 : x
  2. Step 2: Convert to fraction form
    796.16/1,098.60 = 446.76/x
  3. Step 3: Cross multiply
    796.16x = 1,098.60 × 446.76
  4. Step 4: Simplify right side
    796.16x = 490,810.54
  5. Step 5: Solve for x
    x = 490,810.54/796.16
  6. Step 6: Final answer
    x = 616.47

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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.