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Finding the Fourth Proportional to 1,288.46, 1,778.06 and 699.00

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Solution

The fourth proportional to 1,288.46, 1,778.06 and 699.00 is: 964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.46 : 1,778.06 = 699.00 : x
  2. Step 2: Convert to fraction form
    1,288.46/1,778.06 = 699.00/x
  3. Step 3: Cross multiply
    1,288.46x = 1,778.06 × 699.00
  4. Step 4: Simplify right side
    1,288.46x = 1,242,855.05
  5. Step 5: Solve for x
    x = 1,242,855.05/1,288.46
  6. Step 6: Final answer
    x = 964.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.