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Finding the Fourth Proportional to 545.43, 817 and 406.81

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Solution

The fourth proportional to 545.43, 817 and 406.81 is: 609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.43 : 817 = 406.81 : x
  2. Step 2: Convert to fraction form
    545.43/817 = 406.81/x
  3. Step 3: Cross multiply
    545.43x = 817 × 406.81
  4. Step 4: Simplify right side
    545.43x = 332,359.69
  5. Step 5: Solve for x
    x = 332,359.69/545.43
  6. Step 6: Final answer
    x = 609.35

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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.