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Finding the Fourth Proportional to 1,017.78, 1,517.91 and 919.36

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Solution

The fourth proportional to 1,017.78, 1,517.91 and 919.36 is: 1,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.78 : 1,517.91 = 919.36 : x
  2. Step 2: Convert to fraction form
    1,017.78/1,517.91 = 919.36/x
  3. Step 3: Cross multiply
    1,017.78x = 1,517.91 × 919.36
  4. Step 4: Simplify right side
    1,017.78x = 1,395,505.74
  5. Step 5: Solve for x
    x = 1,395,505.74/1,017.78
  6. Step 6: Final answer
    x = 1,371.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.