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Finding the Fourth Proportional to 571, 788.22 and 364.12

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Solution

The fourth proportional to 571, 788.22 and 364.12 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    571 : 788.22 = 364.12 : x
  2. Step 2: Convert to fraction form
    571/788.22 = 364.12/x
  3. Step 3: Cross multiply
    571x = 788.22 × 364.12
  4. Step 4: Simplify right side
    571x = 287,006.67
  5. Step 5: Solve for x
    x = 287,006.67/571
  6. Step 6: Final answer
    x = 502.64

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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.