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Finding the Fourth Proportional to 606.80, 905.18 and 545.24

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Solution

The fourth proportional to 606.80, 905.18 and 545.24 is: 813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 905.18 = 545.24 : x
  2. Step 2: Convert to fraction form
    606.80/905.18 = 545.24/x
  3. Step 3: Cross multiply
    606.80x = 905.18 × 545.24
  4. Step 4: Simplify right side
    606.80x = 493,540.34
  5. Step 5: Solve for x
    x = 493,540.34/606.80
  6. Step 6: Final answer
    x = 813.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.