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Finding the Fourth Proportional to 797.58, 1,094.05 and 790.65

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Solution

The fourth proportional to 797.58, 1,094.05 and 790.65 is: 1,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.58 : 1,094.05 = 790.65 : x
  2. Step 2: Convert to fraction form
    797.58/1,094.05 = 790.65/x
  3. Step 3: Cross multiply
    797.58x = 1,094.05 × 790.65
  4. Step 4: Simplify right side
    797.58x = 865,011.62
  5. Step 5: Solve for x
    x = 865,011.62/797.58
  6. Step 6: Final answer
    x = 1,084.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.