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Finding the Fourth Proportional to 545.49, 746.33 and 543.19

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Solution

The fourth proportional to 545.49, 746.33 and 543.19 is: 743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.49 : 746.33 = 543.19 : x
  2. Step 2: Convert to fraction form
    545.49/746.33 = 543.19/x
  3. Step 3: Cross multiply
    545.49x = 746.33 × 543.19
  4. Step 4: Simplify right side
    545.49x = 405,398.99
  5. Step 5: Solve for x
    x = 405,398.99/545.49
  6. Step 6: Final answer
    x = 743.18

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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.