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Finding the Fourth Proportional to 899.74, 1,241.90 and 584.45

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Solution

The fourth proportional to 899.74, 1,241.90 and 584.45 is: 806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.74 : 1,241.90 = 584.45 : x
  2. Step 2: Convert to fraction form
    899.74/1,241.90 = 584.45/x
  3. Step 3: Cross multiply
    899.74x = 1,241.90 × 584.45
  4. Step 4: Simplify right side
    899.74x = 725,826.17
  5. Step 5: Solve for x
    x = 725,826.17/899.74
  6. Step 6: Final answer
    x = 806.71

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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.