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Finding the Fourth Proportional to 515.65, 768.58 and 486.46

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Solution

The fourth proportional to 515.65, 768.58 and 486.46 is: 725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.65 : 768.58 = 486.46 : x
  2. Step 2: Convert to fraction form
    515.65/768.58 = 486.46/x
  3. Step 3: Cross multiply
    515.65x = 768.58 × 486.46
  4. Step 4: Simplify right side
    515.65x = 373,883.43
  5. Step 5: Solve for x
    x = 373,883.43/515.65
  6. Step 6: Final answer
    x = 725.07

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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.