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Finding the Fourth Proportional to 520.84, 781.27 and 305.79

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Solution

The fourth proportional to 520.84, 781.27 and 305.79 is: 458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.84 : 781.27 = 305.79 : x
  2. Step 2: Convert to fraction form
    520.84/781.27 = 305.79/x
  3. Step 3: Cross multiply
    520.84x = 781.27 × 305.79
  4. Step 4: Simplify right side
    520.84x = 238,900.86
  5. Step 5: Solve for x
    x = 238,900.86/520.84
  6. Step 6: Final answer
    x = 458.68

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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.