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Finding the Fourth Proportional to 423.09, 583.25 and 335.61

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Solution

The fourth proportional to 423.09, 583.25 and 335.61 is: 462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 583.25 = 335.61 : x
  2. Step 2: Convert to fraction form
    423.09/583.25 = 335.61/x
  3. Step 3: Cross multiply
    423.09x = 583.25 × 335.61
  4. Step 4: Simplify right side
    423.09x = 195,742.85
  5. Step 5: Solve for x
    x = 195,742.85/423.09
  6. Step 6: Final answer
    x = 462.65

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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.