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Finding the Fourth Proportional to 796.41, 1,098.51 and 485.91

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Solution

The fourth proportional to 796.41, 1,098.51 and 485.91 is: 670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.41 : 1,098.51 = 485.91 : x
  2. Step 2: Convert to fraction form
    796.41/1,098.51 = 485.91/x
  3. Step 3: Cross multiply
    796.41x = 1,098.51 × 485.91
  4. Step 4: Simplify right side
    796.41x = 533,776.99
  5. Step 5: Solve for x
    x = 533,776.99/796.41
  6. Step 6: Final answer
    x = 670.23

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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.