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Finding the Fourth Proportional to 590.67, 815.01 and 380.80

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Solution

The fourth proportional to 590.67, 815.01 and 380.80 is: 525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.67 : 815.01 = 380.80 : x
  2. Step 2: Convert to fraction form
    590.67/815.01 = 380.80/x
  3. Step 3: Cross multiply
    590.67x = 815.01 × 380.80
  4. Step 4: Simplify right side
    590.67x = 310,353.90
  5. Step 5: Solve for x
    x = 310,353.90/590.67
  6. Step 6: Final answer
    x = 525.43

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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.