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Finding the Fourth Proportional to 571.45, 788.61 and 322.75

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Solution

The fourth proportional to 571.45, 788.61 and 322.75 is: 445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.45 : 788.61 = 322.75 : x
  2. Step 2: Convert to fraction form
    571.45/788.61 = 322.75/x
  3. Step 3: Cross multiply
    571.45x = 788.61 × 322.75
  4. Step 4: Simplify right side
    571.45x = 254,523.88
  5. Step 5: Solve for x
    x = 254,523.88/571.45
  6. Step 6: Final answer
    x = 445.40

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1.5x scale

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.