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Finding the Fourth Proportional to 567.21, 849.14 and 553.24

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Solution

The fourth proportional to 567.21, 849.14 and 553.24 is: 828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.21 : 849.14 = 553.24 : x
  2. Step 2: Convert to fraction form
    567.21/849.14 = 553.24/x
  3. Step 3: Cross multiply
    567.21x = 849.14 × 553.24
  4. Step 4: Simplify right side
    567.21x = 469,777.47
  5. Step 5: Solve for x
    x = 469,777.47/567.21
  6. Step 6: Final answer
    x = 828.22

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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.