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Finding the Fourth Proportional to 476.52, 712.26 and 414.33

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Solution

The fourth proportional to 476.52, 712.26 and 414.33 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.52 : 712.26 = 414.33 : x
  2. Step 2: Convert to fraction form
    476.52/712.26 = 414.33/x
  3. Step 3: Cross multiply
    476.52x = 712.26 × 414.33
  4. Step 4: Simplify right side
    476.52x = 295,110.69
  5. Step 5: Solve for x
    x = 295,110.69/476.52
  6. Step 6: Final answer
    x = 619.30

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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.