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Finding the Fourth Proportional to 576.30, 791.42 and 493.40

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Solution

The fourth proportional to 576.30, 791.42 and 493.40 is: 677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 791.42 = 493.40 : x
  2. Step 2: Convert to fraction form
    576.30/791.42 = 493.40/x
  3. Step 3: Cross multiply
    576.30x = 791.42 × 493.40
  4. Step 4: Simplify right side
    576.30x = 390,486.63
  5. Step 5: Solve for x
    x = 390,486.63/576.30
  6. Step 6: Final answer
    x = 677.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.