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Finding the Fourth Proportional to 478.82, 660.61 and 313.25

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Solution

The fourth proportional to 478.82, 660.61 and 313.25 is: 432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.82 : 660.61 = 313.25 : x
  2. Step 2: Convert to fraction form
    478.82/660.61 = 313.25/x
  3. Step 3: Cross multiply
    478.82x = 660.61 × 313.25
  4. Step 4: Simplify right side
    478.82x = 206,936.08
  5. Step 5: Solve for x
    x = 206,936.08/478.82
  6. Step 6: Final answer
    x = 432.18

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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.