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Finding the Fourth Proportional to 919.14, 1,377.08 and 772.73

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Solution

The fourth proportional to 919.14, 1,377.08 and 772.73 is: 1,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.14 : 1,377.08 = 772.73 : x
  2. Step 2: Convert to fraction form
    919.14/1,377.08 = 772.73/x
  3. Step 3: Cross multiply
    919.14x = 1,377.08 × 772.73
  4. Step 4: Simplify right side
    919.14x = 1,064,111.03
  5. Step 5: Solve for x
    x = 1,064,111.03/919.14
  6. Step 6: Final answer
    x = 1,157.72

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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.