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Finding the Fourth Proportional to 514.91, 768.63 and 476.84

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Solution

The fourth proportional to 514.91, 768.63 and 476.84 is: 711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.91 : 768.63 = 476.84 : x
  2. Step 2: Convert to fraction form
    514.91/768.63 = 476.84/x
  3. Step 3: Cross multiply
    514.91x = 768.63 × 476.84
  4. Step 4: Simplify right side
    514.91x = 366,515.10
  5. Step 5: Solve for x
    x = 366,515.10/514.91
  6. Step 6: Final answer
    x = 711.80

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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.