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Finding the Fourth Proportional to 423.20, 631.74 and 365.79

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Solution

The fourth proportional to 423.20, 631.74 and 365.79 is: 546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 631.74 = 365.79 : x
  2. Step 2: Convert to fraction form
    423.20/631.74 = 365.79/x
  3. Step 3: Cross multiply
    423.20x = 631.74 × 365.79
  4. Step 4: Simplify right side
    423.20x = 231,085.86
  5. Step 5: Solve for x
    x = 231,085.86/423.20
  6. Step 6: Final answer
    x = 546.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.