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Finding the Fourth Proportional to 545.88, 746.66 and 537.38

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Solution

The fourth proportional to 545.88, 746.66 and 537.38 is: 735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.88 : 746.66 = 537.38 : x
  2. Step 2: Convert to fraction form
    545.88/746.66 = 537.38/x
  3. Step 3: Cross multiply
    545.88x = 746.66 × 537.38
  4. Step 4: Simplify right side
    545.88x = 401,237.54
  5. Step 5: Solve for x
    x = 401,237.54/545.88
  6. Step 6: Final answer
    x = 735.02

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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.