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Finding the Fourth Proportional to 429.22, 646.14 and 390.94

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Solution

The fourth proportional to 429.22, 646.14 and 390.94 is: 588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.22 : 646.14 = 390.94 : x
  2. Step 2: Convert to fraction form
    429.22/646.14 = 390.94/x
  3. Step 3: Cross multiply
    429.22x = 646.14 × 390.94
  4. Step 4: Simplify right side
    429.22x = 252,605.46
  5. Step 5: Solve for x
    x = 252,605.46/429.22
  6. Step 6: Final answer
    x = 588.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.