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Finding the Fourth Proportional to 590.96, 815.67 and 342.44

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Solution

The fourth proportional to 590.96, 815.67 and 342.44 is: 472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 815.67 = 342.44 : x
  2. Step 2: Convert to fraction form
    590.96/815.67 = 342.44/x
  3. Step 3: Cross multiply
    590.96x = 815.67 × 342.44
  4. Step 4: Simplify right side
    590.96x = 279,321.60
  5. Step 5: Solve for x
    x = 279,321.60/590.96
  6. Step 6: Final answer
    x = 472.66

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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.