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Finding the Fourth Proportional to 431.90, 644.76 and 333.86

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Solution

The fourth proportional to 431.90, 644.76 and 333.86 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 644.76 = 333.86 : x
  2. Step 2: Convert to fraction form
    431.90/644.76 = 333.86/x
  3. Step 3: Cross multiply
    431.90x = 644.76 × 333.86
  4. Step 4: Simplify right side
    431.90x = 215,256.35
  5. Step 5: Solve for x
    x = 215,256.35/431.90
  6. Step 6: Final answer
    x = 498.40

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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.