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Finding the Fourth Proportional to 476.09, 712.16 and 446.93

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Solution

The fourth proportional to 476.09, 712.16 and 446.93 is: 668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.09 : 712.16 = 446.93 : x
  2. Step 2: Convert to fraction form
    476.09/712.16 = 446.93/x
  3. Step 3: Cross multiply
    476.09x = 712.16 × 446.93
  4. Step 4: Simplify right side
    476.09x = 318,285.31
  5. Step 5: Solve for x
    x = 318,285.31/476.09
  6. Step 6: Final answer
    x = 668.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.