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Finding the Fourth Proportional to 611.64, 837.45 and 609.48

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Solution

The fourth proportional to 611.64, 837.45 and 609.48 is: 834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 837.45 = 609.48 : x
  2. Step 2: Convert to fraction form
    611.64/837.45 = 609.48/x
  3. Step 3: Cross multiply
    611.64x = 837.45 × 609.48
  4. Step 4: Simplify right side
    611.64x = 510,409.03
  5. Step 5: Solve for x
    x = 510,409.03/611.64
  6. Step 6: Final answer
    x = 834.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.