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Finding the Fourth Proportional to 805.16, 1,102.26 and 799.76

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Solution

The fourth proportional to 805.16, 1,102.26 and 799.76 is: 1,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.16 : 1,102.26 = 799.76 : x
  2. Step 2: Convert to fraction form
    805.16/1,102.26 = 799.76/x
  3. Step 3: Cross multiply
    805.16x = 1,102.26 × 799.76
  4. Step 4: Simplify right side
    805.16x = 881,543.46
  5. Step 5: Solve for x
    x = 881,543.46/805.16
  6. Step 6: Final answer
    x = 1,094.87

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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.