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Finding the Fourth Proportional to 476.69, 713.85 and 281.10

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Solution

The fourth proportional to 476.69, 713.85 and 281.10 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 713.85 = 281.10 : x
  2. Step 2: Convert to fraction form
    476.69/713.85 = 281.10/x
  3. Step 3: Cross multiply
    476.69x = 713.85 × 281.10
  4. Step 4: Simplify right side
    476.69x = 200,663.24
  5. Step 5: Solve for x
    x = 200,663.24/476.69
  6. Step 6: Final answer
    x = 420.96

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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.