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Finding the Fourth Proportional to 518.94, 719.13 and 421.74

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Solution

The fourth proportional to 518.94, 719.13 and 421.74 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.94 : 719.13 = 421.74 : x
  2. Step 2: Convert to fraction form
    518.94/719.13 = 421.74/x
  3. Step 3: Cross multiply
    518.94x = 719.13 × 421.74
  4. Step 4: Simplify right side
    518.94x = 303,285.89
  5. Step 5: Solve for x
    x = 303,285.89/518.94
  6. Step 6: Final answer
    x = 584.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.