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Finding the Fourth Proportional to 742.12, 1,023.03 and 584.24

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Solution

The fourth proportional to 742.12, 1,023.03 and 584.24 is: 805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.12 : 1,023.03 = 584.24 : x
  2. Step 2: Convert to fraction form
    742.12/1,023.03 = 584.24/x
  3. Step 3: Cross multiply
    742.12x = 1,023.03 × 584.24
  4. Step 4: Simplify right side
    742.12x = 597,692.13
  5. Step 5: Solve for x
    x = 597,692.13/742.12
  6. Step 6: Final answer
    x = 805.39

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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.