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Finding the Fourth Proportional to 590.78, 884.60 and 434.96

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Solution

The fourth proportional to 590.78, 884.60 and 434.96 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.78 : 884.60 = 434.96 : x
  2. Step 2: Convert to fraction form
    590.78/884.60 = 434.96/x
  3. Step 3: Cross multiply
    590.78x = 884.60 × 434.96
  4. Step 4: Simplify right side
    590.78x = 384,765.62
  5. Step 5: Solve for x
    x = 384,765.62/590.78
  6. Step 6: Final answer
    x = 651.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.