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Finding the Fourth Proportional to 571.68, 857.10 and 409.29

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Solution

The fourth proportional to 571.68, 857.10 and 409.29 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 857.10 = 409.29 : x
  2. Step 2: Convert to fraction form
    571.68/857.10 = 409.29/x
  3. Step 3: Cross multiply
    571.68x = 857.10 × 409.29
  4. Step 4: Simplify right side
    571.68x = 350,802.46
  5. Step 5: Solve for x
    x = 350,802.46/571.68
  6. Step 6: Final answer
    x = 613.63

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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.