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Finding the Fourth Proportional to 571.42, 788.54 and 322.80

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Solution

The fourth proportional to 571.42, 788.54 and 322.80 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.42 : 788.54 = 322.80 : x
  2. Step 2: Convert to fraction form
    571.42/788.54 = 322.80/x
  3. Step 3: Cross multiply
    571.42x = 788.54 × 322.80
  4. Step 4: Simplify right side
    571.42x = 254,540.71
  5. Step 5: Solve for x
    x = 254,540.71/571.42
  6. Step 6: Final answer
    x = 445.45

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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.