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Finding the Fourth Proportional to 545.13, 820.94 and 480.74

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Solution

The fourth proportional to 545.13, 820.94 and 480.74 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.13 : 820.94 = 480.74 : x
  2. Step 2: Convert to fraction form
    545.13/820.94 = 480.74/x
  3. Step 3: Cross multiply
    545.13x = 820.94 × 480.74
  4. Step 4: Simplify right side
    545.13x = 394,652.19
  5. Step 5: Solve for x
    x = 394,652.19/545.13
  6. Step 6: Final answer
    x = 723.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.