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Finding the Fourth Proportional to 571.29, 788.16 and 438.62

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Solution

The fourth proportional to 571.29, 788.16 and 438.62 is: 605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.29 : 788.16 = 438.62 : x
  2. Step 2: Convert to fraction form
    571.29/788.16 = 438.62/x
  3. Step 3: Cross multiply
    571.29x = 788.16 × 438.62
  4. Step 4: Simplify right side
    571.29x = 345,700.44
  5. Step 5: Solve for x
    x = 345,700.44/571.29
  6. Step 6: Final answer
    x = 605.13

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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.