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Finding the Fourth Proportional to 545.69, 817.14 and 301.61

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Solution

The fourth proportional to 545.69, 817.14 and 301.61 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.69 : 817.14 = 301.61 : x
  2. Step 2: Convert to fraction form
    545.69/817.14 = 301.61/x
  3. Step 3: Cross multiply
    545.69x = 817.14 × 301.61
  4. Step 4: Simplify right side
    545.69x = 246,457.60
  5. Step 5: Solve for x
    x = 246,457.60/545.69
  6. Step 6: Final answer
    x = 451.64

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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.