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Finding the Fourth Proportional to 545.13, 748.44 and 513.54

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Solution

The fourth proportional to 545.13, 748.44 and 513.54 is: 705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.13 : 748.44 = 513.54 : x
  2. Step 2: Convert to fraction form
    545.13/748.44 = 513.54/x
  3. Step 3: Cross multiply
    545.13x = 748.44 × 513.54
  4. Step 4: Simplify right side
    545.13x = 384,353.88
  5. Step 5: Solve for x
    x = 384,353.88/545.13
  6. Step 6: Final answer
    x = 705.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.