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Finding the Fourth Proportional to 476.20, 713.14 and 387.64

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Solution

The fourth proportional to 476.20, 713.14 and 387.64 is: 580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.20 : 713.14 = 387.64 : x
  2. Step 2: Convert to fraction form
    476.20/713.14 = 387.64/x
  3. Step 3: Cross multiply
    476.20x = 713.14 × 387.64
  4. Step 4: Simplify right side
    476.20x = 276,441.59
  5. Step 5: Solve for x
    x = 276,441.59/476.20
  6. Step 6: Final answer
    x = 580.52

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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.