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Finding the Fourth Proportional to 571.30, 788.44 and 322.68

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Solution

The fourth proportional to 571.30, 788.44 and 322.68 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.30 : 788.44 = 322.68 : x
  2. Step 2: Convert to fraction form
    571.30/788.44 = 322.68/x
  3. Step 3: Cross multiply
    571.30x = 788.44 × 322.68
  4. Step 4: Simplify right side
    571.30x = 254,409.07
  5. Step 5: Solve for x
    x = 254,409.07/571.30
  6. Step 6: Final answer
    x = 445.32

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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.