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Finding the Fourth Proportional to 429.71, 643.95 and 347.09

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Solution

The fourth proportional to 429.71, 643.95 and 347.09 is: 520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.71 : 643.95 = 347.09 : x
  2. Step 2: Convert to fraction form
    429.71/643.95 = 347.09/x
  3. Step 3: Cross multiply
    429.71x = 643.95 × 347.09
  4. Step 4: Simplify right side
    429.71x = 223,505.39
  5. Step 5: Solve for x
    x = 223,505.39/429.71
  6. Step 6: Final answer
    x = 520.14

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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.