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Finding the Fourth Proportional to 571.01, 859.86 and 409.82

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Solution

The fourth proportional to 571.01, 859.86 and 409.82 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.01 : 859.86 = 409.82 : x
  2. Step 2: Convert to fraction form
    571.01/859.86 = 409.82/x
  3. Step 3: Cross multiply
    571.01x = 859.86 × 409.82
  4. Step 4: Simplify right side
    571.01x = 352,387.83
  5. Step 5: Solve for x
    x = 352,387.83/571.01
  6. Step 6: Final answer
    x = 617.13

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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.