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Finding the Fourth Proportional to 478.76, 714.89 and 380.15

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Solution

The fourth proportional to 478.76, 714.89 and 380.15 is: 567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.76 : 714.89 = 380.15 : x
  2. Step 2: Convert to fraction form
    478.76/714.89 = 380.15/x
  3. Step 3: Cross multiply
    478.76x = 714.89 × 380.15
  4. Step 4: Simplify right side
    478.76x = 271,764.06
  5. Step 5: Solve for x
    x = 271,764.06/478.76
  6. Step 6: Final answer
    x = 567.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.