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Finding the Fourth Proportional to 804.94, 1,117.76 and 798.46

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Solution

The fourth proportional to 804.94, 1,117.76 and 798.46 is: 1,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.94 : 1,117.76 = 798.46 : x
  2. Step 2: Convert to fraction form
    804.94/1,117.76 = 798.46/x
  3. Step 3: Cross multiply
    804.94x = 1,117.76 × 798.46
  4. Step 4: Simplify right side
    804.94x = 892,486.65
  5. Step 5: Solve for x
    x = 892,486.65/804.94
  6. Step 6: Final answer
    x = 1,108.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.