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Finding the Fourth Proportional to 545.08, 746.81 and 537.88

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Solution

The fourth proportional to 545.08, 746.81 and 537.88 is: 736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.08 : 746.81 = 537.88 : x
  2. Step 2: Convert to fraction form
    545.08/746.81 = 537.88/x
  3. Step 3: Cross multiply
    545.08x = 746.81 × 537.88
  4. Step 4: Simplify right side
    545.08x = 401,694.16
  5. Step 5: Solve for x
    x = 401,694.16/545.08
  6. Step 6: Final answer
    x = 736.95

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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.