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Finding the Fourth Proportional to 433.86, 647.12 and 379.38

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Solution

The fourth proportional to 433.86, 647.12 and 379.38 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 647.12 = 379.38 : x
  2. Step 2: Convert to fraction form
    433.86/647.12 = 379.38/x
  3. Step 3: Cross multiply
    433.86x = 647.12 × 379.38
  4. Step 4: Simplify right side
    433.86x = 245,502.49
  5. Step 5: Solve for x
    x = 245,502.49/433.86
  6. Step 6: Final answer
    x = 565.86

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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.