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Finding the Fourth Proportional to 468.41, 645.89 and 398.70

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Solution

The fourth proportional to 468.41, 645.89 and 398.70 is: 549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.41 : 645.89 = 398.70 : x
  2. Step 2: Convert to fraction form
    468.41/645.89 = 398.70/x
  3. Step 3: Cross multiply
    468.41x = 645.89 × 398.70
  4. Step 4: Simplify right side
    468.41x = 257,514.35
  5. Step 5: Solve for x
    x = 257,514.35/468.41
  6. Step 6: Final answer
    x = 549.77

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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.