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Finding the Fourth Proportional to 520.90, 781.83 and 347.67

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Solution

The fourth proportional to 520.90, 781.83 and 347.67 is: 521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 781.83 = 347.67 : x
  2. Step 2: Convert to fraction form
    520.90/781.83 = 347.67/x
  3. Step 3: Cross multiply
    520.90x = 781.83 × 347.67
  4. Step 4: Simplify right side
    520.90x = 271,818.84
  5. Step 5: Solve for x
    x = 271,818.84/520.90
  6. Step 6: Final answer
    x = 521.83

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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.