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Finding the Fourth Proportional to 514.55, 768.04 and 473.38

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Solution

The fourth proportional to 514.55, 768.04 and 473.38 is: 706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.55 : 768.04 = 473.38 : x
  2. Step 2: Convert to fraction form
    514.55/768.04 = 473.38/x
  3. Step 3: Cross multiply
    514.55x = 768.04 × 473.38
  4. Step 4: Simplify right side
    514.55x = 363,571.67
  5. Step 5: Solve for x
    x = 363,571.67/514.55
  6. Step 6: Final answer
    x = 706.58

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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.