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Finding the Fourth Proportional to 848.75, 1,171.22 and 475.64

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Solution

The fourth proportional to 848.75, 1,171.22 and 475.64 is: 656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.75 : 1,171.22 = 475.64 : x
  2. Step 2: Convert to fraction form
    848.75/1,171.22 = 475.64/x
  3. Step 3: Cross multiply
    848.75x = 1,171.22 × 475.64
  4. Step 4: Simplify right side
    848.75x = 557,070.85
  5. Step 5: Solve for x
    x = 557,070.85/848.75
  6. Step 6: Final answer
    x = 656.35

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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.