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Finding the Fourth Proportional to 590.50, 814.98 and 380.98

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Solution

The fourth proportional to 590.50, 814.98 and 380.98 is: 525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.50 : 814.98 = 380.98 : x
  2. Step 2: Convert to fraction form
    590.50/814.98 = 380.98/x
  3. Step 3: Cross multiply
    590.50x = 814.98 × 380.98
  4. Step 4: Simplify right side
    590.50x = 310,491.08
  5. Step 5: Solve for x
    x = 310,491.08/590.50
  6. Step 6: Final answer
    x = 525.81

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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.