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Finding the Fourth Proportional to 571.76, 788.88 and 338.78

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Solution

The fourth proportional to 571.76, 788.88 and 338.78 is: 467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.76 : 788.88 = 338.78 : x
  2. Step 2: Convert to fraction form
    571.76/788.88 = 338.78/x
  3. Step 3: Cross multiply
    571.76x = 788.88 × 338.78
  4. Step 4: Simplify right side
    571.76x = 267,256.77
  5. Step 5: Solve for x
    x = 267,256.77/571.76
  6. Step 6: Final answer
    x = 467.43

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1.5x scale

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.