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Finding the Fourth Proportional to 476.48, 713.20 and 385.44

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Solution

The fourth proportional to 476.48, 713.20 and 385.44 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 713.20 = 385.44 : x
  2. Step 2: Convert to fraction form
    476.48/713.20 = 385.44/x
  3. Step 3: Cross multiply
    476.48x = 713.20 × 385.44
  4. Step 4: Simplify right side
    476.48x = 274,895.81
  5. Step 5: Solve for x
    x = 274,895.81/476.48
  6. Step 6: Final answer
    x = 576.93

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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.