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Finding the Fourth Proportional to 675.84, 927.84 and 609.96

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Solution

The fourth proportional to 675.84, 927.84 and 609.96 is: 837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 927.84 = 609.96 : x
  2. Step 2: Convert to fraction form
    675.84/927.84 = 609.96/x
  3. Step 3: Cross multiply
    675.84x = 927.84 × 609.96
  4. Step 4: Simplify right side
    675.84x = 565,945.29
  5. Step 5: Solve for x
    x = 565,945.29/675.84
  6. Step 6: Final answer
    x = 837.40

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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.