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Finding the Fourth Proportional to 421.46, 634.46 and 379.07

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Solution

The fourth proportional to 421.46, 634.46 and 379.07 is: 570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 634.46 = 379.07 : x
  2. Step 2: Convert to fraction form
    421.46/634.46 = 379.07/x
  3. Step 3: Cross multiply
    421.46x = 634.46 × 379.07
  4. Step 4: Simplify right side
    421.46x = 240,508.08
  5. Step 5: Solve for x
    x = 240,508.08/421.46
  6. Step 6: Final answer
    x = 570.66

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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.