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Finding the Fourth Proportional to 514.30, 708.78 and 420.73

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Solution

The fourth proportional to 514.30, 708.78 and 420.73 is: 579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.30 : 708.78 = 420.73 : x
  2. Step 2: Convert to fraction form
    514.30/708.78 = 420.73/x
  3. Step 3: Cross multiply
    514.30x = 708.78 × 420.73
  4. Step 4: Simplify right side
    514.30x = 298,205.01
  5. Step 5: Solve for x
    x = 298,205.01/514.30
  6. Step 6: Final answer
    x = 579.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.