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Finding the Fourth Proportional to 545.45, 752.48 and 379.72

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Solution

The fourth proportional to 545.45, 752.48 and 379.72 is: 523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.45 : 752.48 = 379.72 : x
  2. Step 2: Convert to fraction form
    545.45/752.48 = 379.72/x
  3. Step 3: Cross multiply
    545.45x = 752.48 × 379.72
  4. Step 4: Simplify right side
    545.45x = 285,727.93
  5. Step 5: Solve for x
    x = 285,727.93/545.45
  6. Step 6: Final answer
    x = 523.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.