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Finding the Fourth Proportional to 571.50, 788.67 and 338.76

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Solution

The fourth proportional to 571.50, 788.67 and 338.76 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 788.67 = 338.76 : x
  2. Step 2: Convert to fraction form
    571.50/788.67 = 338.76/x
  3. Step 3: Cross multiply
    571.50x = 788.67 × 338.76
  4. Step 4: Simplify right side
    571.50x = 267,169.85
  5. Step 5: Solve for x
    x = 267,169.85/571.50
  6. Step 6: Final answer
    x = 467.49

Related Problems

Find fourth proportional to 285.75, 394.34 and 169.38
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Double scale
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Similar ratio
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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.