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Finding the Fourth Proportional to 477.63, 659.43 and 320.49

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Solution

The fourth proportional to 477.63, 659.43 and 320.49 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 659.43 = 320.49 : x
  2. Step 2: Convert to fraction form
    477.63/659.43 = 320.49/x
  3. Step 3: Cross multiply
    477.63x = 659.43 × 320.49
  4. Step 4: Simplify right side
    477.63x = 211,340.72
  5. Step 5: Solve for x
    x = 211,340.72/477.63
  6. Step 6: Final answer
    x = 442.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.