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Finding the Fourth Proportional to 571.08, 788.12 and 322.50

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Solution

The fourth proportional to 571.08, 788.12 and 322.50 is: 445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 788.12 = 322.50 : x
  2. Step 2: Convert to fraction form
    571.08/788.12 = 322.50/x
  3. Step 3: Cross multiply
    571.08x = 788.12 × 322.50
  4. Step 4: Simplify right side
    571.08x = 254,167.09
  5. Step 5: Solve for x
    x = 254,167.09/571.08
  6. Step 6: Final answer
    x = 445.06

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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.