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Finding the Fourth Proportional to 609.37, 910.55 and 499.75

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Solution

The fourth proportional to 609.37, 910.55 and 499.75 is: 746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.37 : 910.55 = 499.75 : x
  2. Step 2: Convert to fraction form
    609.37/910.55 = 499.75/x
  3. Step 3: Cross multiply
    609.37x = 910.55 × 499.75
  4. Step 4: Simplify right side
    609.37x = 455,047.36
  5. Step 5: Solve for x
    x = 455,047.36/609.37
  6. Step 6: Final answer
    x = 746.75

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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.