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Finding the Fourth Proportional to 429.20, 646.32 and 375.76

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Solution

The fourth proportional to 429.20, 646.32 and 375.76 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 646.32 = 375.76 : x
  2. Step 2: Convert to fraction form
    429.20/646.32 = 375.76/x
  3. Step 3: Cross multiply
    429.20x = 646.32 × 375.76
  4. Step 4: Simplify right side
    429.20x = 242,861.20
  5. Step 5: Solve for x
    x = 242,861.20/429.20
  6. Step 6: Final answer
    x = 565.85

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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.