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Finding the Fourth Proportional to 911.25, 1,360.53 and 774.36

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Solution

The fourth proportional to 911.25, 1,360.53 and 774.36 is: 1,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,360.53 = 774.36 : x
  2. Step 2: Convert to fraction form
    911.25/1,360.53 = 774.36/x
  3. Step 3: Cross multiply
    911.25x = 1,360.53 × 774.36
  4. Step 4: Simplify right side
    911.25x = 1,053,540.01
  5. Step 5: Solve for x
    x = 1,053,540.01/911.25
  6. Step 6: Final answer
    x = 1,156.15

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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.