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Finding the Fourth Proportional to 807.36, 1,106.76 and 792.64

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Solution

The fourth proportional to 807.36, 1,106.76 and 792.64 is: 1,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.36 : 1,106.76 = 792.64 : x
  2. Step 2: Convert to fraction form
    807.36/1,106.76 = 792.64/x
  3. Step 3: Cross multiply
    807.36x = 1,106.76 × 792.64
  4. Step 4: Simplify right side
    807.36x = 877,262.25
  5. Step 5: Solve for x
    x = 877,262.25/807.36
  6. Step 6: Final answer
    x = 1,086.58

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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.