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Finding the Fourth Proportional to 473.94, 709.23 and 409.75

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Solution

The fourth proportional to 473.94, 709.23 and 409.75 is: 613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 709.23 = 409.75 : x
  2. Step 2: Convert to fraction form
    473.94/709.23 = 409.75/x
  3. Step 3: Cross multiply
    473.94x = 709.23 × 409.75
  4. Step 4: Simplify right side
    473.94x = 290,606.99
  5. Step 5: Solve for x
    x = 290,606.99/473.94
  6. Step 6: Final answer
    x = 613.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.