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Finding the Fourth Proportional to 1,297.56, 1,948.96 and 778.55

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Solution

The fourth proportional to 1,297.56, 1,948.96 and 778.55 is: 1,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.56 : 1,948.96 = 778.55 : x
  2. Step 2: Convert to fraction form
    1,297.56/1,948.96 = 778.55/x
  3. Step 3: Cross multiply
    1,297.56x = 1,948.96 × 778.55
  4. Step 4: Simplify right side
    1,297.56x = 1,517,364.72
  5. Step 5: Solve for x
    x = 1,517,364.72/1,297.56
  6. Step 6: Final answer
    x = 1,169.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.