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Finding the Fourth Proportional to 848.75, 1,171.42 and 494.62

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Solution

The fourth proportional to 848.75, 1,171.42 and 494.62 is: 682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.75 : 1,171.42 = 494.62 : x
  2. Step 2: Convert to fraction form
    848.75/1,171.42 = 494.62/x
  3. Step 3: Cross multiply
    848.75x = 1,171.42 × 494.62
  4. Step 4: Simplify right side
    848.75x = 579,403.60
  5. Step 5: Solve for x
    x = 579,403.60/848.75
  6. Step 6: Final answer
    x = 682.66

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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.