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Finding the Fourth Proportional to 606.79, 836.49 and 420

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Solution

The fourth proportional to 606.79, 836.49 and 420 is: 578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.79 : 836.49 = 420 : x
  2. Step 2: Convert to fraction form
    606.79/836.49 = 420/x
  3. Step 3: Cross multiply
    606.79x = 836.49 × 420
  4. Step 4: Simplify right side
    606.79x = 351,325.80
  5. Step 5: Solve for x
    x = 351,325.80/606.79
  6. Step 6: Final answer
    x = 578.99

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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.