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Finding the Fourth Proportional to 609.86, 841.10 and 423.65

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Solution

The fourth proportional to 609.86, 841.10 and 423.65 is: 584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.86 : 841.10 = 423.65 : x
  2. Step 2: Convert to fraction form
    609.86/841.10 = 423.65/x
  3. Step 3: Cross multiply
    609.86x = 841.10 × 423.65
  4. Step 4: Simplify right side
    609.86x = 356,325.69
  5. Step 5: Solve for x
    x = 356,325.69/609.86
  6. Step 6: Final answer
    x = 584.28

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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.