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Finding the Fourth Proportional to 1,295.18, 1,787.36 and 771.23

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Solution

The fourth proportional to 1,295.18, 1,787.36 and 771.23 is: 1,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.18 : 1,787.36 = 771.23 : x
  2. Step 2: Convert to fraction form
    1,295.18/1,787.36 = 771.23/x
  3. Step 3: Cross multiply
    1,295.18x = 1,787.36 × 771.23
  4. Step 4: Simplify right side
    1,295.18x = 1,378,465.65
  5. Step 5: Solve for x
    x = 1,378,465.65/1,295.18
  6. Step 6: Final answer
    x = 1,064.30

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