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Finding the Fourth Proportional to 520.31, 717.70 and 395.69

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Solution

The fourth proportional to 520.31, 717.70 and 395.69 is: 545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.31 : 717.70 = 395.69 : x
  2. Step 2: Convert to fraction form
    520.31/717.70 = 395.69/x
  3. Step 3: Cross multiply
    520.31x = 717.70 × 395.69
  4. Step 4: Simplify right side
    520.31x = 283,988.27
  5. Step 5: Solve for x
    x = 283,988.27/520.31
  6. Step 6: Final answer
    x = 545.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.