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Finding the Fourth Proportional to 807.99, 1,106.94 and 778.83

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Solution

The fourth proportional to 807.99, 1,106.94 and 778.83 is: 1,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.99 : 1,106.94 = 778.83 : x
  2. Step 2: Convert to fraction form
    807.99/1,106.94 = 778.83/x
  3. Step 3: Cross multiply
    807.99x = 1,106.94 × 778.83
  4. Step 4: Simplify right side
    807.99x = 862,118.08
  5. Step 5: Solve for x
    x = 862,118.08/807.99
  6. Step 6: Final answer
    x = 1,066.99

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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.