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Finding the Fourth Proportional to 1,279.74, 1,920.04 and 458.25

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Solution

The fourth proportional to 1,279.74, 1,920.04 and 458.25 is: 687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.74 : 1,920.04 = 458.25 : x
  2. Step 2: Convert to fraction form
    1,279.74/1,920.04 = 458.25/x
  3. Step 3: Cross multiply
    1,279.74x = 1,920.04 × 458.25
  4. Step 4: Simplify right side
    1,279.74x = 879,858.33
  5. Step 5: Solve for x
    x = 879,858.33/1,279.74
  6. Step 6: Final answer
    x = 687.53

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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.