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Finding the Fourth Proportional to 645.23, 889.88 and 545.88

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Solution

The fourth proportional to 645.23, 889.88 and 545.88 is: 752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 889.88 = 545.88 : x
  2. Step 2: Convert to fraction form
    645.23/889.88 = 545.88/x
  3. Step 3: Cross multiply
    645.23x = 889.88 × 545.88
  4. Step 4: Simplify right side
    645.23x = 485,764.97
  5. Step 5: Solve for x
    x = 485,764.97/645.23
  6. Step 6: Final answer
    x = 752.86

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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.