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Finding the Fourth Proportional to 521.28, 778.60 and 471.79

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Solution

The fourth proportional to 521.28, 778.60 and 471.79 is: 704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.28 : 778.60 = 471.79 : x
  2. Step 2: Convert to fraction form
    521.28/778.60 = 471.79/x
  3. Step 3: Cross multiply
    521.28x = 778.60 × 471.79
  4. Step 4: Simplify right side
    521.28x = 367,332.57
  5. Step 5: Solve for x
    x = 367,332.57/521.28
  6. Step 6: Final answer
    x = 704.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.