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Finding the Fourth Proportional to 514.87, 768.59 and 478.42

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Solution

The fourth proportional to 514.87, 768.59 and 478.42 is: 714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.87 : 768.59 = 478.42 : x
  2. Step 2: Convert to fraction form
    514.87/768.59 = 478.42/x
  3. Step 3: Cross multiply
    514.87x = 768.59 × 478.42
  4. Step 4: Simplify right side
    514.87x = 367,708.83
  5. Step 5: Solve for x
    x = 367,708.83/514.87
  6. Step 6: Final answer
    x = 714.18

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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.