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Finding the Fourth Proportional to 1,456.28, 2,009.62 and 793.11

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Solution

The fourth proportional to 1,456.28, 2,009.62 and 793.11 is: 1,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.28 : 2,009.62 = 793.11 : x
  2. Step 2: Convert to fraction form
    1,456.28/2,009.62 = 793.11/x
  3. Step 3: Cross multiply
    1,456.28x = 2,009.62 × 793.11
  4. Step 4: Simplify right side
    1,456.28x = 1,593,858.25
  5. Step 5: Solve for x
    x = 1,593,858.25/1,456.28
  6. Step 6: Final answer
    x = 1,094.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.