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Finding the Fourth Proportional to 848.33, 1,272.90 and 415.25

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Solution

The fourth proportional to 848.33, 1,272.90 and 415.25 is: 623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.33 : 1,272.90 = 415.25 : x
  2. Step 2: Convert to fraction form
    848.33/1,272.90 = 415.25/x
  3. Step 3: Cross multiply
    848.33x = 1,272.90 × 415.25
  4. Step 4: Simplify right side
    848.33x = 528,571.73
  5. Step 5: Solve for x
    x = 528,571.73/848.33
  6. Step 6: Final answer
    x = 623.07

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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.