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Finding the Fourth Proportional to 520.42, 780.64 and 301.38

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Solution

The fourth proportional to 520.42, 780.64 and 301.38 is: 452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.42 : 780.64 = 301.38 : x
  2. Step 2: Convert to fraction form
    520.42/780.64 = 301.38/x
  3. Step 3: Cross multiply
    520.42x = 780.64 × 301.38
  4. Step 4: Simplify right side
    520.42x = 235,267.78
  5. Step 5: Solve for x
    x = 235,267.78/520.42
  6. Step 6: Final answer
    x = 452.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.