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Finding the Fourth Proportional to 591.21, 815.94 and 358.34

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Solution

The fourth proportional to 591.21, 815.94 and 358.34 is: 494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.21 : 815.94 = 358.34 : x
  2. Step 2: Convert to fraction form
    591.21/815.94 = 358.34/x
  3. Step 3: Cross multiply
    591.21x = 815.94 × 358.34
  4. Step 4: Simplify right side
    591.21x = 292,379.86
  5. Step 5: Solve for x
    x = 292,379.86/591.21
  6. Step 6: Final answer
    x = 494.54

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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.