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Finding the Fourth Proportional to 515.12, 768.97 and 478.67

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Solution

The fourth proportional to 515.12, 768.97 and 478.67 is: 714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 768.97 = 478.67 : x
  2. Step 2: Convert to fraction form
    515.12/768.97 = 478.67/x
  3. Step 3: Cross multiply
    515.12x = 768.97 × 478.67
  4. Step 4: Simplify right side
    515.12x = 368,081.67
  5. Step 5: Solve for x
    x = 368,081.67/515.12
  6. Step 6: Final answer
    x = 714.56

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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.