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Finding the Fourth Proportional to 475.49, 713.14 and 313.29

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Solution

The fourth proportional to 475.49, 713.14 and 313.29 is: 469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.49 : 713.14 = 313.29 : x
  2. Step 2: Convert to fraction form
    475.49/713.14 = 313.29/x
  3. Step 3: Cross multiply
    475.49x = 713.14 × 313.29
  4. Step 4: Simplify right side
    475.49x = 223,418.85
  5. Step 5: Solve for x
    x = 223,418.85/475.49
  6. Step 6: Final answer
    x = 469.87

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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.