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Finding the Fourth Proportional to 570.55, 851.05 and 523.37

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Solution

The fourth proportional to 570.55, 851.05 and 523.37 is: 780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.55 : 851.05 = 523.37 : x
  2. Step 2: Convert to fraction form
    570.55/851.05 = 523.37/x
  3. Step 3: Cross multiply
    570.55x = 851.05 × 523.37
  4. Step 4: Simplify right side
    570.55x = 445,414.04
  5. Step 5: Solve for x
    x = 445,414.04/570.55
  6. Step 6: Final answer
    x = 780.67

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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.