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Finding the Fourth Proportional to 476.39, 711.91 and 450.06

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Solution

The fourth proportional to 476.39, 711.91 and 450.06 is: 672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.39 : 711.91 = 450.06 : x
  2. Step 2: Convert to fraction form
    476.39/711.91 = 450.06/x
  3. Step 3: Cross multiply
    476.39x = 711.91 × 450.06
  4. Step 4: Simplify right side
    476.39x = 320,401.09
  5. Step 5: Solve for x
    x = 320,401.09/476.39
  6. Step 6: Final answer
    x = 672.57

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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.