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Finding the Fourth Proportional to 1,028.86, 1,418.79 and 679.66

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Solution

The fourth proportional to 1,028.86, 1,418.79 and 679.66 is: 937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.86 : 1,418.79 = 679.66 : x
  2. Step 2: Convert to fraction form
    1,028.86/1,418.79 = 679.66/x
  3. Step 3: Cross multiply
    1,028.86x = 1,418.79 × 679.66
  4. Step 4: Simplify right side
    1,028.86x = 964,294.81
  5. Step 5: Solve for x
    x = 964,294.81/1,028.86
  6. Step 6: Final answer
    x = 937.25

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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.