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Finding the Fourth Proportional to 479.63, 656.23 and 477.83

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Solution

The fourth proportional to 479.63, 656.23 and 477.83 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.63 : 656.23 = 477.83 : x
  2. Step 2: Convert to fraction form
    479.63/656.23 = 477.83/x
  3. Step 3: Cross multiply
    479.63x = 656.23 × 477.83
  4. Step 4: Simplify right side
    479.63x = 313,566.38
  5. Step 5: Solve for x
    x = 313,566.38/479.63
  6. Step 6: Final answer
    x = 653.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.