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Finding the Fourth Proportional to 614.38, 842.90 and 609.34

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Solution

The fourth proportional to 614.38, 842.90 and 609.34 is: 835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.38 : 842.90 = 609.34 : x
  2. Step 2: Convert to fraction form
    614.38/842.90 = 609.34/x
  3. Step 3: Cross multiply
    614.38x = 842.90 × 609.34
  4. Step 4: Simplify right side
    614.38x = 513,612.69
  5. Step 5: Solve for x
    x = 513,612.69/614.38
  6. Step 6: Final answer
    x = 835.99

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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.