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Finding the Fourth Proportional to 606.50, 913.88 and 540.20

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Solution

The fourth proportional to 606.50, 913.88 and 540.20 is: 813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.50 : 913.88 = 540.20 : x
  2. Step 2: Convert to fraction form
    606.50/913.88 = 540.20/x
  3. Step 3: Cross multiply
    606.50x = 913.88 × 540.20
  4. Step 4: Simplify right side
    606.50x = 493,673.41
  5. Step 5: Solve for x
    x = 493,673.41/606.50
  6. Step 6: Final answer
    x = 813.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.