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Finding the Fourth Proportional to 475.11, 707.76 and 445.23

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Solution

The fourth proportional to 475.11, 707.76 and 445.23 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.11 : 707.76 = 445.23 : x
  2. Step 2: Convert to fraction form
    475.11/707.76 = 445.23/x
  3. Step 3: Cross multiply
    475.11x = 707.76 × 445.23
  4. Step 4: Simplify right side
    475.11x = 315,115.98
  5. Step 5: Solve for x
    x = 315,115.98/475.11
  6. Step 6: Final answer
    x = 663.25

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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.