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Finding the Fourth Proportional to 545.41, 816.29 and 447.91

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Solution

The fourth proportional to 545.41, 816.29 and 447.91 is: 670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.41 : 816.29 = 447.91 : x
  2. Step 2: Convert to fraction form
    545.41/816.29 = 447.91/x
  3. Step 3: Cross multiply
    545.41x = 816.29 × 447.91
  4. Step 4: Simplify right side
    545.41x = 365,624.45
  5. Step 5: Solve for x
    x = 365,624.45/545.41
  6. Step 6: Final answer
    x = 670.37

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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.