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Finding the Fourth Proportional to 571.61, 788.75 and 319.53

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Solution

The fourth proportional to 571.61, 788.75 and 319.53 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.61 : 788.75 = 319.53 : x
  2. Step 2: Convert to fraction form
    571.61/788.75 = 319.53/x
  3. Step 3: Cross multiply
    571.61x = 788.75 × 319.53
  4. Step 4: Simplify right side
    571.61x = 252,029.29
  5. Step 5: Solve for x
    x = 252,029.29/571.61
  6. Step 6: Final answer
    x = 440.91

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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.