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Finding the Fourth Proportional to 796.11, 1,098.41 and 497.66

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Solution

The fourth proportional to 796.11, 1,098.41 and 497.66 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.11 : 1,098.41 = 497.66 : x
  2. Step 2: Convert to fraction form
    796.11/1,098.41 = 497.66/x
  3. Step 3: Cross multiply
    796.11x = 1,098.41 × 497.66
  4. Step 4: Simplify right side
    796.11x = 546,638.71
  5. Step 5: Solve for x
    x = 546,638.71/796.11
  6. Step 6: Final answer
    x = 686.64

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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.