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Finding the Fourth Proportional to 520.67, 775.33 and 514.91

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Solution

The fourth proportional to 520.67, 775.33 and 514.91 is: 766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 775.33 = 514.91 : x
  2. Step 2: Convert to fraction form
    520.67/775.33 = 514.91/x
  3. Step 3: Cross multiply
    520.67x = 775.33 × 514.91
  4. Step 4: Simplify right side
    520.67x = 399,222.60
  5. Step 5: Solve for x
    x = 399,222.60/520.67
  6. Step 6: Final answer
    x = 766.76

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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.