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Finding the Fourth Proportional to 478.70, 659.90 and 380.49

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Solution

The fourth proportional to 478.70, 659.90 and 380.49 is: 524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.70 : 659.90 = 380.49 : x
  2. Step 2: Convert to fraction form
    478.70/659.90 = 380.49/x
  3. Step 3: Cross multiply
    478.70x = 659.90 × 380.49
  4. Step 4: Simplify right side
    478.70x = 251,083.45
  5. Step 5: Solve for x
    x = 251,083.45/478.70
  6. Step 6: Final answer
    x = 524.52

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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.