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Finding the Fourth Proportional to 848.77, 1,171.22 and 475.70

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Solution

The fourth proportional to 848.77, 1,171.22 and 475.70 is: 656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.77 : 1,171.22 = 475.70 : x
  2. Step 2: Convert to fraction form
    848.77/1,171.22 = 475.70/x
  3. Step 3: Cross multiply
    848.77x = 1,171.22 × 475.70
  4. Step 4: Simplify right side
    848.77x = 557,149.35
  5. Step 5: Solve for x
    x = 557,149.35/848.77
  6. Step 6: Final answer
    x = 656.42

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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.