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Finding the Fourth Proportional to 407.30, 561.83 and 379.96

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Solution

The fourth proportional to 407.30, 561.83 and 379.96 is: 524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 561.83 = 379.96 : x
  2. Step 2: Convert to fraction form
    407.30/561.83 = 379.96/x
  3. Step 3: Cross multiply
    407.30x = 561.83 × 379.96
  4. Step 4: Simplify right side
    407.30x = 213,472.47
  5. Step 5: Solve for x
    x = 213,472.47/407.30
  6. Step 6: Final answer
    x = 524.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.