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Finding the Fourth Proportional to 429.73, 592.62 and 346.79

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Solution

The fourth proportional to 429.73, 592.62 and 346.79 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.73 : 592.62 = 346.79 : x
  2. Step 2: Convert to fraction form
    429.73/592.62 = 346.79/x
  3. Step 3: Cross multiply
    429.73x = 592.62 × 346.79
  4. Step 4: Simplify right side
    429.73x = 205,514.69
  5. Step 5: Solve for x
    x = 205,514.69/429.73
  6. Step 6: Final answer
    x = 478.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.