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Finding the Fourth Proportional to 873.64, 1,205.22 and 610.60

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Solution

The fourth proportional to 873.64, 1,205.22 and 610.60 is: 842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,205.22 = 610.60 : x
  2. Step 2: Convert to fraction form
    873.64/1,205.22 = 610.60/x
  3. Step 3: Cross multiply
    873.64x = 1,205.22 × 610.60
  4. Step 4: Simplify right side
    873.64x = 735,907.33
  5. Step 5: Solve for x
    x = 735,907.33/873.64
  6. Step 6: Final answer
    x = 842.35

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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.