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Finding the Fourth Proportional to 476.78, 716.07 and 395.63

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Solution

The fourth proportional to 476.78, 716.07 and 395.63 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 716.07 = 395.63 : x
  2. Step 2: Convert to fraction form
    476.78/716.07 = 395.63/x
  3. Step 3: Cross multiply
    476.78x = 716.07 × 395.63
  4. Step 4: Simplify right side
    476.78x = 283,299.36
  5. Step 5: Solve for x
    x = 283,299.36/476.78
  6. Step 6: Final answer
    x = 594.20

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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.