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Finding the Fourth Proportional to 842.98, 1,261.77 and 452.02

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Solution

The fourth proportional to 842.98, 1,261.77 and 452.02 is: 676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.98 : 1,261.77 = 452.02 : x
  2. Step 2: Convert to fraction form
    842.98/1,261.77 = 452.02/x
  3. Step 3: Cross multiply
    842.98x = 1,261.77 × 452.02
  4. Step 4: Simplify right side
    842.98x = 570,346.85
  5. Step 5: Solve for x
    x = 570,346.85/842.98
  6. Step 6: Final answer
    x = 676.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.