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Finding the Fourth Proportional to 546, 813.14 and 531.42

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Solution

The fourth proportional to 546, 813.14 and 531.42 is: 791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 813.14 = 531.42 : x
  2. Step 2: Convert to fraction form
    546/813.14 = 531.42/x
  3. Step 3: Cross multiply
    546x = 813.14 × 531.42
  4. Step 4: Simplify right side
    546x = 432,118.86
  5. Step 5: Solve for x
    x = 432,118.86/546
  6. Step 6: Final answer
    x = 791.43

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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.