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Finding the Fourth Proportional to 609.77, 914.90 and 366.47

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Solution

The fourth proportional to 609.77, 914.90 and 366.47 is: 549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.77 : 914.90 = 366.47 : x
  2. Step 2: Convert to fraction form
    609.77/914.90 = 366.47/x
  3. Step 3: Cross multiply
    609.77x = 914.90 × 366.47
  4. Step 4: Simplify right side
    609.77x = 335,283.40
  5. Step 5: Solve for x
    x = 335,283.40/609.77
  6. Step 6: Final answer
    x = 549.85

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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.