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Finding the Fourth Proportional to 429, 646.10 and 380.85

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Solution

The fourth proportional to 429, 646.10 and 380.85 is: 573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 646.10 = 380.85 : x
  2. Step 2: Convert to fraction form
    429/646.10 = 380.85/x
  3. Step 3: Cross multiply
    429x = 646.10 × 380.85
  4. Step 4: Simplify right side
    429x = 246,065.28
  5. Step 5: Solve for x
    x = 246,065.28/429
  6. Step 6: Final answer
    x = 573.58

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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.