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Finding the Fourth Proportional to 488.43, 736.90 and 434.97

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Solution

The fourth proportional to 488.43, 736.90 and 434.97 is: 656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.43 : 736.90 = 434.97 : x
  2. Step 2: Convert to fraction form
    488.43/736.90 = 434.97/x
  3. Step 3: Cross multiply
    488.43x = 736.90 × 434.97
  4. Step 4: Simplify right side
    488.43x = 320,528.31
  5. Step 5: Solve for x
    x = 320,528.31/488.43
  6. Step 6: Final answer
    x = 656.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.