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Finding the Fourth Proportional to 478.43, 660.04 and 354.39

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Solution

The fourth proportional to 478.43, 660.04 and 354.39 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.43 : 660.04 = 354.39 : x
  2. Step 2: Convert to fraction form
    478.43/660.04 = 354.39/x
  3. Step 3: Cross multiply
    478.43x = 660.04 × 354.39
  4. Step 4: Simplify right side
    478.43x = 233,911.58
  5. Step 5: Solve for x
    x = 233,911.58/478.43
  6. Step 6: Final answer
    x = 488.91

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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.