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Finding the Fourth Proportional to 590.92, 815.85 and 381.19

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Solution

The fourth proportional to 590.92, 815.85 and 381.19 is: 526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 815.85 = 381.19 : x
  2. Step 2: Convert to fraction form
    590.92/815.85 = 381.19/x
  3. Step 3: Cross multiply
    590.92x = 815.85 × 381.19
  4. Step 4: Simplify right side
    590.92x = 310,993.86
  5. Step 5: Solve for x
    x = 310,993.86/590.92
  6. Step 6: Final answer
    x = 526.29

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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.