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Finding the Fourth Proportional to 606.71, 910.07 and 173.86

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Solution

The fourth proportional to 606.71, 910.07 and 173.86 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.71 : 910.07 = 173.86 : x
  2. Step 2: Convert to fraction form
    606.71/910.07 = 173.86/x
  3. Step 3: Cross multiply
    606.71x = 910.07 × 173.86
  4. Step 4: Simplify right side
    606.71x = 158,227.40
  5. Step 5: Solve for x
    x = 158,227.40/606.71
  6. Step 6: Final answer
    x = 260.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.