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Finding the Fourth Proportional to 1,076.23, 1,614.13 and 491.07

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Solution

The fourth proportional to 1,076.23, 1,614.13 and 491.07 is: 736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.23 : 1,614.13 = 491.07 : x
  2. Step 2: Convert to fraction form
    1,076.23/1,614.13 = 491.07/x
  3. Step 3: Cross multiply
    1,076.23x = 1,614.13 × 491.07
  4. Step 4: Simplify right side
    1,076.23x = 792,650.82
  5. Step 5: Solve for x
    x = 792,650.82/1,076.23
  6. Step 6: Final answer
    x = 736.51

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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.