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Finding the Fourth Proportional to 796.58, 1,098.20 and 678.08

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Solution

The fourth proportional to 796.58, 1,098.20 and 678.08 is: 934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.58 : 1,098.20 = 678.08 : x
  2. Step 2: Convert to fraction form
    796.58/1,098.20 = 678.08/x
  3. Step 3: Cross multiply
    796.58x = 1,098.20 × 678.08
  4. Step 4: Simplify right side
    796.58x = 744,667.46
  5. Step 5: Solve for x
    x = 744,667.46/796.58
  6. Step 6: Final answer
    x = 934.83

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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.