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Finding the Fourth Proportional to 729.21, 1,091.79 and 567.21

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Solution

The fourth proportional to 729.21, 1,091.79 and 567.21 is: 849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.21 : 1,091.79 = 567.21 : x
  2. Step 2: Convert to fraction form
    729.21/1,091.79 = 567.21/x
  3. Step 3: Cross multiply
    729.21x = 1,091.79 × 567.21
  4. Step 4: Simplify right side
    729.21x = 619,274.21
  5. Step 5: Solve for x
    x = 619,274.21/729.21
  6. Step 6: Final answer
    x = 849.24

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Why These Related Problems?

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