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Finding the Fourth Proportional to 514.24, 709.82 and 409.52

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Solution

The fourth proportional to 514.24, 709.82 and 409.52 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.24 : 709.82 = 409.52 : x
  2. Step 2: Convert to fraction form
    514.24/709.82 = 409.52/x
  3. Step 3: Cross multiply
    514.24x = 709.82 × 409.52
  4. Step 4: Simplify right side
    514.24x = 290,685.49
  5. Step 5: Solve for x
    x = 290,685.49/514.24
  6. Step 6: Final answer
    x = 565.27

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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.