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Finding the Fourth Proportional to 590.54, 814.53 and 380.78

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Solution

The fourth proportional to 590.54, 814.53 and 380.78 is: 525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.54 : 814.53 = 380.78 : x
  2. Step 2: Convert to fraction form
    590.54/814.53 = 380.78/x
  3. Step 3: Cross multiply
    590.54x = 814.53 × 380.78
  4. Step 4: Simplify right side
    590.54x = 310,156.73
  5. Step 5: Solve for x
    x = 310,156.73/590.54
  6. Step 6: Final answer
    x = 525.21

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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.