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Finding the Fourth Proportional to 571.31, 788.42 and 322.58

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Solution

The fourth proportional to 571.31, 788.42 and 322.58 is: 445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.31 : 788.42 = 322.58 : x
  2. Step 2: Convert to fraction form
    571.31/788.42 = 322.58/x
  3. Step 3: Cross multiply
    571.31x = 788.42 × 322.58
  4. Step 4: Simplify right side
    571.31x = 254,328.52
  5. Step 5: Solve for x
    x = 254,328.52/571.31
  6. Step 6: Final answer
    x = 445.17

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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.