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Finding the Fourth Proportional to 805.96, 1,204.33 and 573.58

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Solution

The fourth proportional to 805.96, 1,204.33 and 573.58 is: 857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.96 : 1,204.33 = 573.58 : x
  2. Step 2: Convert to fraction form
    805.96/1,204.33 = 573.58/x
  3. Step 3: Cross multiply
    805.96x = 1,204.33 × 573.58
  4. Step 4: Simplify right side
    805.96x = 690,779.60
  5. Step 5: Solve for x
    x = 690,779.60/805.96
  6. Step 6: Final answer
    x = 857.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.