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Finding the Fourth Proportional to 571.47, 788.16 and 493.71

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Solution

The fourth proportional to 571.47, 788.16 and 493.71 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.47 : 788.16 = 493.71 : x
  2. Step 2: Convert to fraction form
    571.47/788.16 = 493.71/x
  3. Step 3: Cross multiply
    571.47x = 788.16 × 493.71
  4. Step 4: Simplify right side
    571.47x = 389,122.47
  5. Step 5: Solve for x
    x = 389,122.47/571.47
  6. Step 6: Final answer
    x = 680.91

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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.