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Finding the Fourth Proportional to 1,295.36, 1,787.62 and 771.69

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Solution

The fourth proportional to 1,295.36, 1,787.62 and 771.69 is: 1,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.36 : 1,787.62 = 771.69 : x
  2. Step 2: Convert to fraction form
    1,295.36/1,787.62 = 771.69/x
  3. Step 3: Cross multiply
    1,295.36x = 1,787.62 × 771.69
  4. Step 4: Simplify right side
    1,295.36x = 1,379,494.70
  5. Step 5: Solve for x
    x = 1,379,494.70/1,295.36
  6. Step 6: Final answer
    x = 1,064.95

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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.