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Finding the Fourth Proportional to 571.67, 788.90 and 397.12

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Solution

The fourth proportional to 571.67, 788.90 and 397.12 is: 548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.67 : 788.90 = 397.12 : x
  2. Step 2: Convert to fraction form
    571.67/788.90 = 397.12/x
  3. Step 3: Cross multiply
    571.67x = 788.90 × 397.12
  4. Step 4: Simplify right side
    571.67x = 313,284.02
  5. Step 5: Solve for x
    x = 313,284.02/571.67
  6. Step 6: Final answer
    x = 548.02

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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.