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Finding the Fourth Proportional to 479.45, 713.43 and 477.83

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Solution

The fourth proportional to 479.45, 713.43 and 477.83 is: 711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.45 : 713.43 = 477.83 : x
  2. Step 2: Convert to fraction form
    479.45/713.43 = 477.83/x
  3. Step 3: Cross multiply
    479.45x = 713.43 × 477.83
  4. Step 4: Simplify right side
    479.45x = 340,894.69
  5. Step 5: Solve for x
    x = 340,894.69/479.45
  6. Step 6: Final answer
    x = 711.02

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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.