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Finding the Fourth Proportional to 606.57, 909.85 and 173.76

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Solution

The fourth proportional to 606.57, 909.85 and 173.76 is: 260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.57 : 909.85 = 173.76 : x
  2. Step 2: Convert to fraction form
    606.57/909.85 = 173.76/x
  3. Step 3: Cross multiply
    606.57x = 909.85 × 173.76
  4. Step 4: Simplify right side
    606.57x = 158,090.12
  5. Step 5: Solve for x
    x = 158,090.12/606.57
  6. Step 6: Final answer
    x = 260.63

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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.