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Finding the Fourth Proportional to 899.72, 1,241.84 and 637.82

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Solution

The fourth proportional to 899.72, 1,241.84 and 637.82 is: 880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,241.84 = 637.82 : x
  2. Step 2: Convert to fraction form
    899.72/1,241.84 = 637.82/x
  3. Step 3: Cross multiply
    899.72x = 1,241.84 × 637.82
  4. Step 4: Simplify right side
    899.72x = 792,070.39
  5. Step 5: Solve for x
    x = 792,070.39/899.72
  6. Step 6: Final answer
    x = 880.35

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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.