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Finding the Fourth Proportional to 857.80, 1,183.22 and 647.64

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Solution

The fourth proportional to 857.80, 1,183.22 and 647.64 is: 893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.80 : 1,183.22 = 647.64 : x
  2. Step 2: Convert to fraction form
    857.80/1,183.22 = 647.64/x
  3. Step 3: Cross multiply
    857.80x = 1,183.22 × 647.64
  4. Step 4: Simplify right side
    857.80x = 766,300.60
  5. Step 5: Solve for x
    x = 766,300.60/857.80
  6. Step 6: Final answer
    x = 893.33

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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.