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Finding the Fourth Proportional to 545.30, 816.39 and 415.80

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Solution

The fourth proportional to 545.30, 816.39 and 415.80 is: 622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.30 : 816.39 = 415.80 : x
  2. Step 2: Convert to fraction form
    545.30/816.39 = 415.80/x
  3. Step 3: Cross multiply
    545.30x = 816.39 × 415.80
  4. Step 4: Simplify right side
    545.30x = 339,454.96
  5. Step 5: Solve for x
    x = 339,454.96/545.30
  6. Step 6: Final answer
    x = 622.52

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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.