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Finding the Fourth Proportional to 807.42, 1,106.99 and 792.84

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Solution

The fourth proportional to 807.42, 1,106.99 and 792.84 is: 1,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.42 : 1,106.99 = 792.84 : x
  2. Step 2: Convert to fraction form
    807.42/1,106.99 = 792.84/x
  3. Step 3: Cross multiply
    807.42x = 1,106.99 × 792.84
  4. Step 4: Simplify right side
    807.42x = 877,661.99
  5. Step 5: Solve for x
    x = 877,661.99/807.42
  6. Step 6: Final answer
    x = 1,087.00

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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.