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Finding the Fourth Proportional to 848.74, 1,272.75 and 386.38

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Solution

The fourth proportional to 848.74, 1,272.75 and 386.38 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.74 : 1,272.75 = 386.38 : x
  2. Step 2: Convert to fraction form
    848.74/1,272.75 = 386.38/x
  3. Step 3: Cross multiply
    848.74x = 1,272.75 × 386.38
  4. Step 4: Simplify right side
    848.74x = 491,765.15
  5. Step 5: Solve for x
    x = 491,765.15/848.74
  6. Step 6: Final answer
    x = 579.41

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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.