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Finding the Fourth Proportional to 478.84, 660.40 and 380.44

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Solution

The fourth proportional to 478.84, 660.40 and 380.44 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.84 : 660.40 = 380.44 : x
  2. Step 2: Convert to fraction form
    478.84/660.40 = 380.44/x
  3. Step 3: Cross multiply
    478.84x = 660.40 × 380.44
  4. Step 4: Simplify right side
    478.84x = 251,242.58
  5. Step 5: Solve for x
    x = 251,242.58/478.84
  6. Step 6: Final answer
    x = 524.69

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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.