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Finding the Fourth Proportional to 643.99, 966.75 and 542.56

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Solution

The fourth proportional to 643.99, 966.75 and 542.56 is: 814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.99 : 966.75 = 542.56 : x
  2. Step 2: Convert to fraction form
    643.99/966.75 = 542.56/x
  3. Step 3: Cross multiply
    643.99x = 966.75 × 542.56
  4. Step 4: Simplify right side
    643.99x = 524,519.88
  5. Step 5: Solve for x
    x = 524,519.88/643.99
  6. Step 6: Final answer
    x = 814.48

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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.