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Finding the Fourth Proportional to 479.96, 713.62 and 475.10

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Solution

The fourth proportional to 479.96, 713.62 and 475.10 is: 706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.96 : 713.62 = 475.10 : x
  2. Step 2: Convert to fraction form
    479.96/713.62 = 475.10/x
  3. Step 3: Cross multiply
    479.96x = 713.62 × 475.10
  4. Step 4: Simplify right side
    479.96x = 339,040.86
  5. Step 5: Solve for x
    x = 339,040.86/479.96
  6. Step 6: Final answer
    x = 706.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.