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Finding the Fourth Proportional to 545.76, 817.21 and 301.95

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Solution

The fourth proportional to 545.76, 817.21 and 301.95 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 817.21 = 301.95 : x
  2. Step 2: Convert to fraction form
    545.76/817.21 = 301.95/x
  3. Step 3: Cross multiply
    545.76x = 817.21 × 301.95
  4. Step 4: Simplify right side
    545.76x = 246,756.56
  5. Step 5: Solve for x
    x = 246,756.56/545.76
  6. Step 6: Final answer
    x = 452.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.