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Finding the Fourth Proportional to 571.10, 859.68 and 409.91

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Solution

The fourth proportional to 571.10, 859.68 and 409.91 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.10 : 859.68 = 409.91 : x
  2. Step 2: Convert to fraction form
    571.10/859.68 = 409.91/x
  3. Step 3: Cross multiply
    571.10x = 859.68 × 409.91
  4. Step 4: Simplify right side
    571.10x = 352,387.13
  5. Step 5: Solve for x
    x = 352,387.13/571.10
  6. Step 6: Final answer
    x = 617.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.