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Finding the Fourth Proportional to 475.83, 709.85 and 434.97

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Solution

The fourth proportional to 475.83, 709.85 and 434.97 is: 648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.83 : 709.85 = 434.97 : x
  2. Step 2: Convert to fraction form
    475.83/709.85 = 434.97/x
  3. Step 3: Cross multiply
    475.83x = 709.85 × 434.97
  4. Step 4: Simplify right side
    475.83x = 308,764.54
  5. Step 5: Solve for x
    x = 308,764.54/475.83
  6. Step 6: Final answer
    x = 648.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.