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Finding the Fourth Proportional to 927.09, 1,386.99 and 744.84

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Solution

The fourth proportional to 927.09, 1,386.99 and 744.84 is: 1,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.09 : 1,386.99 = 744.84 : x
  2. Step 2: Convert to fraction form
    927.09/1,386.99 = 744.84/x
  3. Step 3: Cross multiply
    927.09x = 1,386.99 × 744.84
  4. Step 4: Simplify right side
    927.09x = 1,033,085.63
  5. Step 5: Solve for x
    x = 1,033,085.63/927.09
  6. Step 6: Final answer
    x = 1,114.33

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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.