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Finding the Fourth Proportional to 447.05, 619.72 and 429.74

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Solution

The fourth proportional to 447.05, 619.72 and 429.74 is: 595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.05 : 619.72 = 429.74 : x
  2. Step 2: Convert to fraction form
    447.05/619.72 = 429.74/x
  3. Step 3: Cross multiply
    447.05x = 619.72 × 429.74
  4. Step 4: Simplify right side
    447.05x = 266,316.62
  5. Step 5: Solve for x
    x = 266,316.62/447.05
  6. Step 6: Final answer
    x = 595.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.