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Finding the Fourth Proportional to 921.76, 1,379.39 and 675.25

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Solution

The fourth proportional to 921.76, 1,379.39 and 675.25 is: 1,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.76 : 1,379.39 = 675.25 : x
  2. Step 2: Convert to fraction form
    921.76/1,379.39 = 675.25/x
  3. Step 3: Cross multiply
    921.76x = 1,379.39 × 675.25
  4. Step 4: Simplify right side
    921.76x = 931,426.27
  5. Step 5: Solve for x
    x = 931,426.27/921.76
  6. Step 6: Final answer
    x = 1,010.49

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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.