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Finding the Fourth Proportional to 514.08, 708.68 and 409.21

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Solution

The fourth proportional to 514.08, 708.68 and 409.21 is: 564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.08 : 708.68 = 409.21 : x
  2. Step 2: Convert to fraction form
    514.08/708.68 = 409.21/x
  3. Step 3: Cross multiply
    514.08x = 708.68 × 409.21
  4. Step 4: Simplify right side
    514.08x = 289,998.94
  5. Step 5: Solve for x
    x = 289,998.94/514.08
  6. Step 6: Final answer
    x = 564.11

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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.