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Finding the Fourth Proportional to 480.06, 664.29 and 471.96

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Solution

The fourth proportional to 480.06, 664.29 and 471.96 is: 653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.06 : 664.29 = 471.96 : x
  2. Step 2: Convert to fraction form
    480.06/664.29 = 471.96/x
  3. Step 3: Cross multiply
    480.06x = 664.29 × 471.96
  4. Step 4: Simplify right side
    480.06x = 313,518.31
  5. Step 5: Solve for x
    x = 313,518.31/480.06
  6. Step 6: Final answer
    x = 653.08

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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.