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Finding the Fourth Proportional to 609.02, 838.01 and 590.80

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Solution

The fourth proportional to 609.02, 838.01 and 590.80 is: 812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.02 : 838.01 = 590.80 : x
  2. Step 2: Convert to fraction form
    609.02/838.01 = 590.80/x
  3. Step 3: Cross multiply
    609.02x = 838.01 × 590.80
  4. Step 4: Simplify right side
    609.02x = 495,096.31
  5. Step 5: Solve for x
    x = 495,096.31/609.02
  6. Step 6: Final answer
    x = 812.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.